A circle is inscribed in a right triangle. The length of the radius of the circle is 6 cm, and the length of the hypotenuse is 29 cm. Find the lengths of the two segments of the hypote- nuse that are determined by the point of tangency.

Q: In a right triangle, one leg has length 4 and the other has length 3. What is the length of the…

A: Given : In a right triangle, one leg has length 4 and the other has length 3.

Q: If a right triangle has two legs which have measurments of 9 inches and 15 inches, the length of the…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: Each leg of an isosceles right triangle has a measure of 10 centimeters. To the nearest tenth of a…

A: Given, each leg of an isosceles right triangle has a measure of 10 centimeters.

Q: Suppose that the perimeter of a quadrilateral is 70 and the lengths of the sides are in the ratio…

A:

Q: The sides of a right triangle have lengths of 6 cm, 8 cm, and 10 cm. Which length is that of the…

A: Given  The sides of right angle triangle are 6 cm  , 8 cm and 10 cm

Q: A design at the entrance to the jaguars is made up of 8 isosceles triangles. If the legs of each…

A: Topic- perimeter of isosceles triangle

Q: If the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.…

A: Let the length of the sides of the triangle are  3x, 5x, 7x Therefore the perimeter is 3x+5x+7x=15x…

Q: If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long, how long is…

A: Given, If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long,…

Q: If you place a 21-foot ladder against the top of a building and the bottom of the ladder is 12 feet…

A: NOTE: Refresh your page if you can't see any equations. . here we have AC=21 feet BC=12 feet AB=x…

Q: In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides…

A: Pythagoras theorem: It states that, In a right angled triangle, the sum of squares of perpendicular…

Q: A girl used a ladder 6m long to climb the top of a dike whose sides are inclined 42 degrees with the…

A:

Q: What is the length of the shortest altitude in a triangle, if the lengths of the sides are: 15 cm,…

A: What we can know before we start to calculate, is that the shortest altitude must be from the corner…

Q: A right triangle has a side length of 10 feet and a hypotenuse length of 20 feet. Find the other…

A:

Q: If the length of the radius of the circle is 6, what is the area of the square? * Remember, the…

A:

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Given :

Q: Rafaela draws a pattern consisting of a number of similar equilateral triangles. The first triangle…

A: here the next length = 1.5*previous length  second triangle length =1.5*4 = 6 third triangle length…

Q: faela draws a pattern consisting of a number of similar equilateral triangles. The first triangle…

A:

Q: A triangle has one side that is 10 cm, and another side that is between 2 cm and 22 cm. Find the…

A:

Q: To determine the distance between two points on opposite sides of a pond, a surveyor locates two…

A: Given,            A surveyor loctes two stakes at those two points and uses instruments to place a…

Q: Find the missing side length of a right triangle that has a base of 12 and a hypotenuse of 20.

A:

Q: A 13-foot ladder is leaning against a​ building, with the base of the ladder 3 feet from the…

A:

Q: In an isosceles right triangle, if the length of each side is x, then what is the length of the…

A: Given that in an isosceles right triangle, the length of each side is x.

Q: The perimeter of an isosceles triangle is 32 cm. If the length of the altitude drawn to the base is…

A: Consider the diagram of the isosceles triangle, it is given that the perimeter of the triangle is…

Q: A triangle on the coordinate plane is dilated by a factor of 3.  What is the ratio of the pre-image…

A:

Q: A triangle has a 13-inch side, a 14-inch side, and a 15-inch side. To the nearest tenth of an inch,…

A: Given Length of medeain drawn to 14in side is given by    Ma = 122b2+2c2-a2

Q: A right triangle has side lengths measuring 7 cm, 24 cm, and 25 cm. A similar triangle has a…

A: Let x be the length of shortest side of larger triangle. Since both triangles are similar, By basic…

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: If a right triangle has two legs which have measuments of 12 inches and 14 inches, the length of the…

A:

Q: the

A:

Q: Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120 cm²

A: Given,  Hypotenuse of right angle triangle = 26 cm Area of right angle triangle = 120 cm2   We have…

Q: In a 45°-45°-90° triangle with legs 20 cm long, the length of the altitudeto the hypotenuse is…

A: Given: A 45°-45°-90° triangle with legs 20 cm long is given To Find: The length of the hypotenuse

Q: f two pyramids are similar to with slant heights in the ratio of 3:8, what is the ratio of their…

A: For similar objects, the ratio of their surface area is equal to the ratio of squares of their…

Q: In a right triangle, if the length of the hypotenuse is 17 and the length of one of the other sides…

A:

Q: length

A:

Q: Find the exact length of the missing leg of a right triangle whose hypotenuse has length of 15 cm…

A: Given problem:- Find the exact length of the missing leg of a right triangle whose hypotenuse has…

Q: The length of the base of an isosceles triangle is 6 cm and the adjacent corner is 75 degrees. What…

A: Given that length of the base of an isosceles triangle is 6 cm and the adjacent corner is 75…

Q: If the perimeter of a circle is equal to that of a square , then find the ratios of thier squares

A:

Q: Find the exact length of the missing leg of a right triangle whose hypotenuse has length of 3 cm and…

A:

Q: The areas of two similar triangles are in the ratio of 25:9. If the altitude of the larger triangle…

A: Given, the areas of two similar triangles are in the ratio 25 : 9 and the altitude of the larger…

Q: In a right​ triangle, if the length of the hypotenuse is 13 and the length of one of the other sides…

A: Given problem is : In a right​ triangle, if the length of the hypotenuse is 13 and the length of…

Q: If the size of the cake is equal to one, what is the area and thickness?

A: Here we should assume the shape of the cake since it is not given. Here size we will take in the…

Q: 1. The longest side of a right triangle is 34 cm. Find the length of longer leg if it is 14 cm.…

A:

Q: A design at the entrance to the jaguars is made up of 10 isosceles triangles. If the legs of each…

A: First of all calculate length of 1 triangle then multiply by 10

Q: if the perimeter of a semi-circle protractor is 108 cm,find the diameter of the protractor

A: As we know that the expression for the perimeter of a semi-circle protractor is: Perimeter=πr+2r…

Q: If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet…

A:

Q: A tart rope starting from the top of a flagpole and tied to the ground is 15 meters long.If the pole…

A: Given that  Length of rope =15 m  Height of the pole =7 m  To find the distance from rope to base of…

Q: In a circle whose radius has length 12 m, the length of an arc is 67 m. What is the degree measure…

A: Arc length =2πrθ360

Q: If the shortest leg of a 30-60-90 right triangle measures 6 v3 cm, what is the exact length of the…

A: Given triangle,

Q: The ratio of width to height of a golden rectangle is given by the golden​ ratio, which is…

A: First we set the ratio to find the width.THen we do cross multiplication to get rid of fraction .