Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as midpoints. (Hint: How is RT related to the side of the triangle that has 5 as its midpoint?)

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1,…

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given…

Q: Show that the points A=(3,4),B=(1,1) ,and C=(-2,3) are the vertices of an isosceles triangle

A: We know, distance d between two points (x1,y1) and (x2,y2) is given by distance formula as:…

Q: Find, to the nearest degree, the three angles of the triangle with the given vertices. A(1,0,-1)…

A:

Q: Given: AABC is an isosceles triangle with vertex angle, ZB. ZA ZE ZBCALDCE BC DC Prove: C is the…

A:

Q: Choose SSS, SAS, or neither to compare these two triangles. A C SSS SAS neither

A: We can use the concept of congruency of triangle In order to solve the given problem.

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: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. А(1,…

A:

Q: Given the following information, determine the number of triangles that would be possible. a) ZA=40°…

A: Topic = Triangles

Q: Given the sides, classify the triangle as right, acute, obtuse or not a triangle. 8, 12, 14 O right…

A: Given:          We have given sides : 8,12,14

Q: Given that α = 64◦ and c = 14.3cm in triangle ∆ABC with a right angle at vertex C, approximate the…

A: The sine rule says that asinα=bsinβ=csinγ, where a, b and c are the sides and α,β and γ are the…

Q: Use the following theorem to construct a triangle similar to the given triangle but with sides that…

A: We need to construct a similar triangle to the given triangle so that the sides should be in…

Q: Consider the figures. Which two triangles are congruent?

A:

Q: 24 8 10 16 15 12.8

A: In geometry, two shapes are similar if they are the same shape but different sizes.   Similar…

Q: Which of the similarity statements is true of the triangles in the diagram? B. D. C. O ABCA ADCB O…

A: Consider the triangle

Q: A triangle median extends from a vertex of the triangle to the endpoint of the opposite side. O True…

A: False

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: Consider the points P = (8,6, −8), Q = (8, 0, 8), R = (0, 6, 8) to be vertices of a triangle. What…

A:

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: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

A:

Q: GIVEN: ARST [Figure 5.24(a)] with sides a, b, and c so that c2 = a² + b? PROVE: ARST is a right…

A: We have given triangle RST It is given that  c2=a2+b2

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

A:

Q: Find the perimeter of the triangle with vertices at​ A(0,0), B(−4​,−3​), and C(−5​,0).

A:

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: 1. If AAOD is isosceles, with OA = OD, then 2_?_ = L_?. 2. If ABOC is isosceles, with OB = OC, then…

A: In a isosceles triangle the angles opposite to equal angles are also equal.

Q: Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an…

A: Given:

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A:

Q: R 6 P. 15 T. の

A: Please see the explanation below

Q: A) Which of the following triplets are possible lengths of line segments that could form a triangle…

A:

Q: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

A:

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices.P(1,…

A: we know the distance formula

Q: Consider a triangle with vertices X, Y, and Z.

A: Definition used -              Triangle law of vector addition -                  According to…

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: Given a triangle with A=24.3°,C= 54.6°,and c=18.1, find the remaining angle and sides.

A: Given :A triangle with A=24.3°,C= 54.6°,and c=18.1

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

A:

Q: Are the triangles congruent by the HL Theorem? A

A:

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

A:

Q: Determine if the two triangles are congruent. If they are, state how you know by marking (highlight…

A:

Q: Determine the type of triangle represented if the lengths of its sides are: a) a = 4, b = 3, and c =…

A: To determine the type of triangle on the basis of lengths of its sides. Let c is longest of a…

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

A:

Q: The triangles are Z,

A: Given,           The two triangle are similar.

Q: Are the triangles similar? If so by which postulate? 49 92 92 39 S4

A:

Q: If AABC is an isosceles triangle, which statement explains whether there is enough information to…

A:

Q: Which rule explains why these scalene triangles are similar? 38 42 62 54 SS SAS AA none of the…

A:

Q: Given triangle RTS is an isosceles triangle and, ZT is the vertex angle , if ST = 4y + 6, and TR =…

A:

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: Find the measure of each interior angle of a regular polygon of n sides if: а) п 3D 4 b) п 3 12

A: a)  n=4  Here use formula  each angle (of a regular polygon) =n-2×180°n Each angle of a regular…

Q: 1. Find the orthocentre of the triangle with vertices at P(-3, 4), Q(10, -3), and R(3, -2).

A: Ortho center of a triangle is the point where all the altitudes of the triangle meets. That point of…

Q: Consider the triangle ABD formed with the points A(1,-4), B(-4,1) and D(-3,-5). determine its…

A: