a) Solve the following triangles for all missing side and angles: PQR given that

Q: By using the definitions of equilateral triangle (a triangle with three congruent sides) and of…

A: A equilateral triangle is a triangle whose all three sides are equal. The perimeter of a triangle is…

Q: Given two points P and Q, determine the coordinates of points M1, M2, ..., Mn-1 in the segment from…

A:

Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: Suppose that line segment BC is the base of isosceles triangle ABC. Find AB if the perimeter of…

A: BC¯ is the base of isosceles ∆ABC, perimeter P=36.4 and BC=14.6   Procedure used: Perimeter of a…

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A:

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 90°…

A: Th measure of each interior angle of a regular polygon of side n is given by I=n-2180°n. The measure…

Q: a hip roof is in the form of four congruent isosceles triangles with base angles of 30 degrees and…

A: Let the base of the triangle be:  2x

Q: Is it possible for a trapezoid to have sides of lengths 3,7,5, and 11? Address ALL possible…

A: Let's say the trapezoid has side lengths a, b, c, d, such that sides a and c are parallel to each…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Given that, An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

Q: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm. Which of the following can be the…

A: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm.

Q: If GHJ is an equilateral triangle, GH=5x-13, HJ=11x-61,  and GJ=7x-29, find x and the measure of…

A: Equilateral triangle GHJ can be drawn asGH=5x-13HJ=11x-61GJ=7x-29

Q: Determine the number of possible triangles that could be drawn with the given measures. Solve for…

A: topic - law of sines

Q: 1. Complete the following diagram by writing the name of the quadrilateral that goes in each box.…

A: Consider

Q: triangle has sides of length 10 cm and 15 cm. The parimeter of the triangle must be between what two…

A: We have to find perimeter

Q: Which formula would help determine if the legs of an isosceles trapezoid are congruent

A:

Q: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: The perimeter of a kite is the sum of all sides of the kite. The area of a kite is: A=12d1d2 Where,…

Q: If a triangle has lengths of 27m and 11m , check all the possible lengths for the third side.

A:

Q: The sides of an isosceles triangle are 10 and 16 m. (base). What is the length of the equal sides of…

A:

Q: 3) If the lengths of the sides of APQR are 11 cm, 14 cm and 8 cm, then what kind of triangle is…

A: 3. Observe the characteristics of triangle on the basis of sides as well as angles.

Q: The ratio of interior angles of two regular polygons is 2: 3. Find and name all pairs of regular…

A: Answer is mentioned below

Q: "find the number of sides for a regular polygon whose measure of each interior angle is 168

A:

Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the length of each…

A: Given that △ABC is an equilateral triangle. Hence, all the three sides of △ABC will be of equal…

Q: Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. a. LE is twice LI. If its perimeter is…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 4. A house is 5.8 m wide. The roof is being designed by an architect so that one side will be longer…

A:

Q: From a point outside an equilateral triangle, the distances to the vertices are 10 m, 18 m, and 10 m…

A: From a point outside an equilateral triangle, the distances to the vertices are 10 m, 18 m, and 10 m…

Q: Determine the number of possible triangles that could be drawn with the given measures. Solve for…

A:

Q: Given that ZA = 30° and side a = 10ft, and side b = 8ft, then find the remaining sides and angles of…

A: Given that: ∠A=30°, side a=10ft and side b=8ft

Q: If the two shorter sides of a 45 degree –45 degree –90 degree triangle are both  3/4 , find the…

A: Consider the diagram of the triangle, according to Pythagoras theorem, In a right-angled triangle,…

Q: 15. If the altitude of an isosceles triangle is 60 ft. and each of the two angles measure 20°, how…

A:

Q: In an isosceles right triangle, if the hypotenuse has length b√2 , then each leg has length

A:

Q: The interior angle of a regular polygon is twice the exterior angle. How many sides have the…

A: The interior angle of a regular polygon is twice the exterior angle .

Q: Determine the number of possible triangles that could be drawn with the given measures. Solve for…

A:

Q: The sum of the measures of the interior angles of a polygon is 2520 degrees. How many sides does…

A:

Q: Describe three conditions under which two triangles would becongruent.

A: we need two triangles to describe about congruent

Q: Find the number of sides for a regular polygon in which each interior angle is 120° larger than each…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: If the longest side in a 30 degree –60 degree –90 degree  triangle is 10, find the length of the…

A:

Q: 2.) Each angle of a regular undecagon measures ____. 3.) What is the sum of the interior angles of a…

A: For a regular polygon, the lengths of all sides are equal and the measures of all angles are equal.…

Q: whats true about the side lengths and angles for two congruent triangles? How will they look?

A:

Q: What is the measure of each exterior angle of a regular decagon (10 sides)

A:

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 60°…

A: Given: The measure of each interior angle of a regular polygon is 60° greater than the measure of…

Q: Determine the number of triangles formed given each of the following conditions. Show your…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: A rhombus has sides of length 44 cm and interior angles of 120 degrees and 60 degrees. How long are…

A:

Q: If the number of sides of a regular polygon is 8, then each exterior angle is equal to of its…

A:

Q: in a right angled triangle, one of the angles is 69 degrees and the hypoteneuse is 5m long, to the…

A: We know, for this right angled triangle,        sin 690 = Perpendicular/hypoteneous…

Q: A triangular parcel of land with vertices at R, S and T was to be enclosed by a fence, but it was…

A:

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Please refer to the image below.

Q: circle O, AOC is the diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: Aim:  To find the measure of  mAD⏜, mDC⏜, ∠BAC, ∠ABC, ∠ACB.   Given:  G1:AC is a diameter.  G2:BC…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A:

Q: Find the sum of the interior angles of a regular decagon. Find the number of triangles that would…

A:

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.