Answered: Given triangle RTS is an isosceles…

Given triangle RTS is an isosceles triangle and, ZT is the vertex angle , if ST = 4y + 6, and TR = 7y – 21, what is the value of y? HINT: Draw a triangle and label it RTS. y =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.5: Special Right Triangles

Problem 37E: In right triangle XYZ, XY=3 and YZ=4. If V is the midpoint of YZ and mVWZ=90, find VW. HINT: Draw...

See similar textbooks

Related questions

Q: Given the indicated parts of triangle ABC with y = 90°, express a in terms of a and b.

A: NOTE: Refresh your page if you can't see any equations. .

Q: AJKL is an isosceles triangle. ZJ is the vertex angle. Given the following information, what are the…

Q: Given: AFAT A DOG. Be able to draw and illustrate the correspending parts of the two given congruent…

Q: 20 D 21 F. 10 14 15 E 28

Q: 2. In the diagram, which construction is being demonstrated? A B A. The first marks for constructing…

Q: If A(2, 2), B(7, 3), and C(4, x) are the vertices of a right triangle with right angle C, find the…

A: Consider the given vertices of the triangle △ABC with right-angled at C A2 , 2 , B7 , 3 , C4 , x…

Q: Given the triangle below, the measure of angle C is 19°. Is this true or false? If false, find the…

A: NOTE: Refresh your page if you can't see any equations. . here we have A=9x-26 B=2x-12 C=4x+43

Q: 6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure 120. What is the longest side…

A: Given that : In ∆DEF, m∠D=50, an exterior angle of vertex F has measure 120

Q: 13) In the diagram below, BC connects points B and C on the congruent sides of isosceles triangle…

A: We have to find the length of BC from the given figure.

Q: The vertex C is a right angle in the triangle ABC. If the points D and E are taken on the…

Q: If triangle ABC has sides a = 90, b = 70, and c = 40, solve for the interior angles.

A: a=90, b=70 & c=40 The diagrammatic representation is,

Q: 36. PQRS is an isosceles trapezoid. If ZTRS = 100°, ZT = 35°, and PS = TS, find the measures of the…

A: Properties of isosceles trapezoid:- One blue+one red=1800 (they are supplementary) Blue angles are…

Q: 7. Given: C is the Midpoint of AD, <A <D Prove: Triangle ABC is congruent to Triangle CDA D B C E A

Q: Given the indicated parts of triangle ABC with y = 90° , express a in terms of a 5. and b.

Q: 3. If ADEF is an isosceles triangle, ZD is the vertex angle, DE = 4x – 7, EF = 3x + 2 and DF = 6x –…

Q: For triangle ABC with c = 345, a = 534, and C = 25.4°, there are two possible val- ues for angle A.…

A: To Determine: For triangle ABC with c = 345, a = 534, and C = 25.4°, there are two possible values…

Q: For what values of x and y are the triangles to the right congruent by HL? y+2 x= and y =O

Q: А B C

A: As the angle ACD is the exterior angle at vertex C, we have ∠A+∠B=∠ACD. So we get…

Q: In the figure below, sides DG and DE are congruent, and angles GDF and FDE are congruent as marked.…

A: topic - triangles

Q: Suppose AABC has an exterior angle at vertex B. The exterior angle is (12r – 24)°, mLA = (3x – 6) °,…

A: We have to find the measurements of exterior a

Q: Given a triangle ABC with points D. E. and Fas midooints of sides AC AB, and BC respectively. If AB…

Q: A, B and C are the midpoints of the sides of triangle GHJ. AB = 3.4, BC = 4.2, and AC = 3.8. Find…

A: Given: Since A,B and C are the midpoints of the sides of triangle GHJ.And AB=3.4, BC=4.2,…

Q: For what type of triangle will the incenter and the circumcenter be the same?

A: The Circumcenter of a triangle is the point where perpendicular bisectors of the three sides meet.…

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(3,…

A: To find the three angles of the triangle formed with the vertices P(3,0), Q(0,2), R(5,5).Obtain the…

Q: Given the following quadrilateral is an isosceles trapezoid and MZRPQ=134°. Find the angles listed…

A: Given the following quadrilateral is an isosceles trapezoid

Q: Given: LA and BC Construct: An isosceles triangle with a vertex angle congruent to ZA and legs…

A: We have to draw a isosceles triangle whose leg is BC and angle A is congurent to the given figure…

Q: Choose the appropriate value for z for the following similar triangles given below. AABC AXYZ. ΔΑΒC…

A: Here given triangles as Also △ABC~△YZX

Q: For the four-line geometry. a. How many triangles exist in the geometry in which all three sides are…

A: We have to find the number of triangles exist in a four point geometry.

Q: The movement of the progress bar may be uneven because questions can be worth more or less…

A: Given, triangles FIM and LAK below are similar. and LA = AK Since, the ∆ FIM and ∆ LAK are…

Q: Based on the given figure, find: (a) the angle loss at each vertex (b) the number of vertices (c)…

A: We have, the given figure as

Q: 12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and. JL = 8x + 35, find x and…

Q: Given a triangle with angle A = 96° and sides a = 29 and b = 19, %D %3D the length of side c is C…

Q: Given that triangle PRS is congruent to triangle CFH, find the value of y. * R (13у - 1)" 24 39 28…

Q: For which values of a, b and C there exists a non-degenerate triangle having sides of length a, b…

Q: Triangle ABC is congruent to triangle XYZ. Which angle correspornds lo an C.Z D. None of the above…

A: Question - 5 Given: Triangle ABC is congruent to triangle XYZ.

Q: For what values of x and y are the triangles congruent by HL? A -x + 51 2 12.5

A: A) Since the triangles are congruent -x+512=12.5-x+51=25x=26

Q: Given the point A(-3, -2) and B(6, 1), find the coordinates of the point P on directed line segment…

Q: In the diagram below of triangle CDE, F is a midpoint of CD and G is a midpoint of DE. If FG = 57 –…

A: Given F is midpoint of CD¯G is midpoint of DE¯FG = 57-9xCE= 29-x

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(2,…

Q: Given the sides of a triangle, XY = 10, YZ 12, and XZ+5, which lists the angles from smallest to…

Q: 29. In triangle GHJ below, points A, B and C are midpoints of the sides. А G When AB 3x + 8 and GJ =…

Q: 18. If ABC is an isosceles triangle with vertex angle m(ZA)=45° and AB =10 inches, find the length…

Q: For what values of x and y are the triangles to the right congruent by HL? x+2 4y у+4 ..... and y=…

A: Given query is to find the value of x and so that triangles are congruent by HL.

Q: The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the…

Q: Let a, b and c be lengths of the sides of a triangle. Show that (a + b-c) (a-b + c) (- a + b + c) ≤…

A: Given: Three sides of a triangle are a, b ,c. To prove a+b-ca-b+c-a+b+c≤abc Assume: Let the three…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 64 –…

A: As given D is midpoint of AB so BD=AB/2 As given E is midpoint of BC so BE=BC/2 Now using property…

Q: Given square ABCD, let P and Q be the points outside the square that make triangles CDP and BCQ…

A: Here we find the angle ATP in given figure.

Q: AJKL is an isosceles triangle. ZJ is the vertex angle. Given the following information, what are the…

A: An isosceles triangle is a triangle with 2 sides equal to each other.

Q: For what values of x and y are the triangles to the right congruent by HL? x+2 y+7 and y =

Q: In the diagram below of triangle MNO,P is the midpoint of MO and Q is the midpoint of NO. If PQ = 49…

A: Both triangles OPQ and OMN are similar triangles

Question

Given triangle RTS is an isosceles triangle and, ZT is the vertex angle , if ST = 4y + 6, and TR =
7y 21, what is the value of y? HINT: Draw a
%3D
triangle and label it RTS.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In trapezoid RSTV, RVST,mSRV=90, and M and N are midpoints of the nonparallel sides. a What type of triangle is RMN? b If ST = 13, RV = 17 and RS = 16, How long is RN? c What type of triangle is RVN? Hint: Use lengths of sides found in part b.
Given: MR bisects NMP, MN=2x,NR=x, RP=x+1, and MP=3x1 Find: x
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x.
For concave pentagon ABCDE, find the measure of the reflex angle at vertex E if mA=mD=x, mB=mC=2x, and mE=4x. HINT: E is the indicated reflex angle.
Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._
In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC bisects ADB. What are the measures of ABC, ADC, and 1?
Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the planes containing EJF and KJF is larger than 180 .
What relationship, if any, exists between two angles a with equal measures? b that have the same vertex and a common side between them?
In right triangle XYZ, XY=3 and YZ=4. If V is the midpoint of YZ and mVWZ=90, find VW. HINT: Draw XV.
In ABC,AC=5.3,BC=7.2 and BA=6.7. With angle bisectors as shown, which line segment is longer? a AE or EC? b CD or DB? c AF or FB?
Given that mA=2x+y, mB=2x+3y-20, and mC=3x-y+16, find the measure of each angle of .