In each part of the problem, a pair of similar triangles is shown. Find the measure of the segment marked with the letter a, b, c, or d. (a) 8 (b) 18 16 14 8 ..... (а) а - (b) b =

Q: If the hypotenuse of the triangle below is 14, what is the leg? 45

A: In right angle traingle we have to find leg side

Q: In the applet above right triangle ABC is drawn with a 72° angle. For right triangles with an angle…

A: this can solve by using trigonometry angle ratio.

Q: Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have…

A: It is given that there are 3 line segments of lengths are, r, s and t.   Lengths can be assumed from…

Q: If the two triangles are similar by hypotenuse-leg similarity, what is the value of X?

A: Given,

Q: which best describes the construction of a triangle if given line segments 10cm,5cm,4cm?

A: Explanation of the solution is given below...

Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

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Q: 1. What is the hypotenuse of a triangle whose legs are 10 and 24.

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Q: One way to show that two triangles are similar is to show that

A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…

Q: Anish said that he made a triangle that had side lengths of 5 units, 5 units and 5 units. Is this a…

A:

Q: In the applet above right triangle XYZ is drawn with a 23 angle. For right triangles with an angle…

A: Given that the ratio of adjacent side of 23 angle to hypotenuse is 0.92 we know that  cosθ=adjacent…

Q: In the triangle below, 8. of side z. If side z is 3. of side y, what is the ratio of a to z? 4. side…

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Q: If the measures of the three angles in a triangle are known, can you solve for the lengths of the…

A: If the measures of the three angles in a triangle is known then we can't find the length of the…

Q: 13) How would you classify a triangle by it's SIDES if they measured 9.7 inches, 6.2 inches, and 3.1…

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Q: The sum of all the measures of the exterior angles of a triangle is equal to (1) 90 (3) 270° (4) 360…

A: By using triangle property, we measure the sum of exterior angles

Q: The length of the base of isosceles triangle is 24 cm and the length of the leg is 20 cm. Deter the…

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Q: Two triangles are____________ if the lengths of two corresponding sides are equal and the angles…

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Q: Leanne tries to construct a square inscribed in circle O. She draws diameter AB and then draws two…

A: To draw a square inscribed in a circle.

Q: What is the length of the hypotenuse for a right triangle with legs of length 8 and 15? O 16 O 18 O…

A: For a right angled triangle, Using Pythagorean theorem, (Hypotenuse)2 = Sum of squares of other two…

Q: Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

A:

Q: What relationship, if any, exists between two angles a) with equal measures? b) that have the same…

A: Given that,   Two angles are equal in measure and then we have to find relationship, if any exists.…

Q: Are these triangles similar? If so, what is the similarity statement?

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Q: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

A: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

Q: Is it possible to draw a triangle whose sides measure a) 7, 7, and 14? b) 6, 7, and 14? c) 6, 7, and…

A: It is known that if the sum of the lengths of two sides is more than the length of the third side…

Q: What do you do first if you are asked to find the area of a triangle and are given two sides and the…

A: Two sides and the included angle. The area of the triangle is, A=12absinC, where a & b are the…

Q: 7. FOR THE GIVEN TRIANGLE, SOLVE FOR MEDIAN TO SIDE C, ALTITUDE TO SIDE B, AND ANGLE BISECTOR TO…

A: In the above figure, the angle has been calculated using the cosine formula. ∠A = cos-1b2+c2-a22bc∠A…

Q: In a right triangle, suppose the longest side is 8 m, and the shortest side is 2 m, as shown to the…

A: In the right triangle,longest side is 8m and the shortest side is 2mwe have to find the length of…

Q: Suppose a right triangle has a leg that measures 5 and a hypotenuse that measures 10. What is the…

A: One Side(B) of right triangle is = 5 Hypotenuse is = 10  Third side (P) =?

Q: If the triangles shown are similar so that 3:4:5 = x:y:15, what are the values of x and y?

A: Given:

Q: how do i find Corresponding sides in similar Triangles?

A: The similar figure are of the same shape but may be of different sizes. Consider the triangle ABC…

Q: In the applet above right triangle XYZ is drawn with a 23° angle. For right triangles with an angle…

A: Given data: The given angle is ∠YXZ=23°. The ratio of the leg adjacent to the given angle to the…

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

A:

Q: 1.A table cloth is cut into a parallelogram in which two opposite angles measure (8x+34)° and…

A: As we know, by the property of parallelogram that the measure of opposite angles is same. So, ∠A =…

Q: The exterior angles of a pentagon are (x + 5)°, (2x + 3)°, (3x + 2)°,(4x + 1)° and (5x + 4)°…

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Q: 2. Suppose we know two angles, as well as the non-included side of a triangle (AAS pattern) A 45 10…

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Q: The triangles are Z,

A: Given,           The two triangle are similar.

Q: An isosceles triangle is a triangle in which two sides are equal in length. The angle between the…

A: Known fact:If two sides of any triangle is equal, then their opposite angles are also equal.The sum…

Q: Are the two triangles similar? If so, by what similarity shortcut?

A: The figure is as shown below :

Q: In a pair of similar triangles, the lengths of corresponding sides are in proportion.

A:

Q: triangle ???, has sides 40, 20 and 24. What is the length of the median from the longest side to the…

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Q: Two triangles are ___________ if corresponding angles are equal and the lengths of the corresponding…

A: Recall that for similar triangles the measure of corresponding angles in both the triangles be…

Q: 2. Is a triangle that has sides with lengths of 24 kilometers, 45 kilometers, and 51 km, acute,…

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Q: 12) How would you classify a triangle by it's sides if they measured 8 cm, 8 cm, and 8 cm? *

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Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: Which of the following sets of lengths can represent the measures of the sides of a right triangle?

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Q: 12. Knowing that two triangles have two pairs of congruent angles is enough to know that they are…

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Q: In a triangle the lengths of the two larger sides are 10 and 9, respectively. If the angles are in…

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Q: Are the two triangles similar? How do you know?

A: 2 triangles are said to be similar when the respective angles of the triangles are equal and the…

Q: Is it possible to draw a triangle whose sides measure a) 8, 9, and 10? b) 8, 9, and 17? c) 8, 9, and…

A: To construct a triangle, the sum of any two sides must be greater than the third side. a). Given…

Q: 2. If the circumferences of two circles are in the ratio 2:3, then their areas are in the ratio (A)…

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Q: On the map, Atlanta, Miami, and New Orleans form a triangle whose sides are shown in the figure…

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