how do I find the lengths of the sides of a triangle using the Pythagorean theorem?  A - x+3 B - x C - 15 (its a 90 degree triangle)

Q: Pythagorean Theorem The roof of a house is to extend up 13.5 feet above the ceiling,which is 36 feet…

A: Let x be the length of one side of the roof. Since the roof forms an isosceles triangle, therefore…

Q: Two sides, a and b, of a right triangle AABC are equal in length. The hypotenuse, c, is across from…

A:

Q: The perpendicular bisector of hypotenuse AB  in the right triangle ABC forms the triangle with the…

A: Let the length be CB=l and AC=h in △ABC. So, by Pythagoras theorem, AB=h2+l2   Also, P is a…

Q: b. a B Figure ABC is a right isosceles triangle. Side a has length 11 inches. What is the length of…

A: Given: Side a has length 11 inches. Find: What is the length of side c?

Q: Question AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown.…

A: We know that, in similar triangles corresponding sides are proportional.

Q: In a right triangle the two legs have measurements of 12 inches and 15 inches. Use the Pythagorean…

A: Solved below

Q: 2. A lifeguard standing at the water's edge sees a man flailing out in the water. She runs along the…

A: This question can be solved using the concept of trigonometry.

Q: 13.b-6,c=8,x - AP A C

A: In the triangle ABC, ∠ABC=47°, c=8 and b=6   Formula used: 1) Sine rule: asin(A)=bsin(B)=csin(C) 2)…

Q: 7a. Here are 2 triangles. Explain how you know the right triangles are similar. *

A: Given, A right angle triangle with side lengths are x, y and z  and angle between x and z is α…

Q: Question AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown.…

A: Given,           △ABC and △XYZ are similar triangles and is shown below :

Q: Pythagorean Problems Calculate the lengths of all of this triangle's sides. X = y = 64 cm? ly 225…

A: We are given a figure and with the help of that we need to calculate the length x, y and z. This can…

Q: ROOFS In the picture, BD I AC and AABC is an isosceles triangle with base AC. Write a two-column…

A:

Q: A 12-foot ladder leans against a house. The foot of the ladder is 7 feet away from the house. How…

A:

Q: One leg of a right-angled triangle ABC is twice as long as the other. Triangle A'B'C is formed by…

A:

Q: 7-9 Troy is thinking of a shape. He says that it has four sides and that no sides have equal length.…

A: Answer .  Quadrilateral

Q: Triangle PQR The three angle bisectors What did you discover about the three angle bisectors of…

A: For bisecting an angle,  At first we draw an arc on both the arms of angle keeping the vertex as…

Q: the lengths of the sides of a triangle are 2x+5, 3x+10, and x+12. Find all values of x that make the…

A:

Q: 16. Two consecutive angles of a parallelogram measure 3x + 42 and 9x-18. What are the measures of…

A: Consecutive angles in a parallelogram are supplementary i.e, the sum of the 2 consecutive angles of…

Q: Triangle PQR The three angle bisectors What did you discover about the three angle bisectors of…

A: We have given a triangle PQR   We have to construct 3 angle bisectors

Q: (b). A right-angled triangle is to be constructed so that the hypotenuse is 20 cm long. The height…

A: Given that in right angled triangle, Hypotenuse = 20 cm Let base = x cm so height that is…

Q: Which angles from an isosceles triangle

A:

Q: A hiker, who is 6 feet tall, is standing on the ground looking up to the top of a tree with an angle…

A: In a right angle triangle; sin θ = P/H P->Perpendicular H->Hypotenuse

Q: Show that a right triangle is formed by points ?(3,1,-1), ?(5,3,6), and ?(3,-5,0). If it does not…

A:

Q: right triangle the two legs have measurements of 9 inches and 16 inches. Use the Pythagorean theorem…

A: Given query is to find the length of the hypotenuse.

Q: A cross section of the rectangular prism is outlined in black on the diagram. Which two statements…

A:

Q: 18. Quadrilateral ABCD is inscribed in circle O. O Part A: What is the sum of the measures of arcs…

A: We will find the value of the required angle and value of x in the following step.

Q: These are two similar triangle What does x equal? 10 12 X + 3 x = [ ? ]

A:

Q: 8. Points A and B are on opposite sides of the Grand Canyon. Point C is 200 yards from A. Angle B…

A: Law of sines , sinAa=sinBb=sinCc a,b and c are the length of sides opposite to angle.

Q: Pythagorean Theorem Free Response: Find the length of the missing side. 1.) 2.) 3.) X = 12 X= 6. 16…

A:

Q: 17. A local park in the shape of a triangle is being redesigned. The fencing around the park is made…

A: Solution:-

Q: The perpendicular bisector of hypotenuse AB in the right triangle ABC forms the triangle with the…

A:

Q: POSS Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?…

A: 10^2 + 60^2 does not equal to 65^2 Therefore it is not possible to make right angle triangle.

Q: 3. A right triangle has sides with lengths 28m, and 32 m. Calculate the length of the hypotenuse. 28…

A: Given that:

Q: The perpendicular bisector of hypotenuse AB in the right triangle ∆ABC forms the triangle with the…

A: Let the length be CB = l and AC = h in △ABC. So, by…

Q: X mt 60° 100 mt 45 In the diagram above of right triangle ABD, the mZBAD%3=

A:

Q: The legs of an isosceles triangle have lengths 2x+2 and -2x+14. The base has length 6x+6. What is…

A: Isosceles triangle have two equal sides:2x+2 = -2x+144x = 14- 24x = 12x = 124 = 3

Q: Contrapositive: "If the sum of the interior angles of a geometric figure is not 180 degrees, then…

A: Contrapositive statement means  if p→q then the contra positive statement means ~q→~p

Q: The coordinates of the vertices of a triangle are K(-6, 1), R, (5, 0), and S(-2, -3). Find the…

A: The question can be solved using the concept of distance formula.

Q: Triangle A'B'C" is created by dilating triangle 4. What is the length of A" B"?

A: The graph is given such that point A=1,4 and B=4,8 The triangle △ABC is dilated by 4 to form △A'B'C'

Q: A triangle has sides of length 6 cm and 10 cm. What can you say about the length of the third side?…

A: We have to derive a conclusion about the third side of the triangle.

Q: 1. A right triangle has legs of lengths 2 and 6. What is the exact length of the hypotenuse?…

A: We are solving the first question and for the next questions , post the question again and…

Q: 5. The legs of an isosceles right triangle both measure 10 inches. Find the length of the…

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Q: A triangle with a leg of 3 and a hypotenuse of 5.

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Q: Triangles BAD and CBD are similar. Which side of CBD correspond to BA of BAD

A: Given fig. is

Q: I. TRIANGLES 1. What is the altitude of a right angle if its area is 125 square meters and its base…

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Q: 3. In a right triangle ABC, the right angle is at vertex C and its area is 450 cm². If AB= 100 cm,…

A:

Q: 5. The sides of an equilateral triangle are shortened by 2 units, 3 units and 4 units respectively…

A:

Q: 18. Tina measures the distances between three cities on a map. The distances between the three…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: 2. An airplane is flying at an altitude of 6000 m over the ocean directly toward an island. When the…

A: As per guidelines, we are supposed to solve only first three subdivisions. Please repost other…