Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?

6 inches
4 StartRoot 21 EndRoot inches
16 StartRoot 21 EndRoot inches
21 inches

Respuesta :

Answer:

21 inches    i did the assignment   i hope this helps!   :)

Step-by-step explanation:

Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?

6 inches

4 StartRoot 21 EndRoot inches

16 StartRoot 21 EndRoot inches

21 inches

The length is the kite diagonal that is shown is 21 inches.

Kite

A kite is a quadrilateral (has four side and four angles) in which adjacent sides are equal.

Let a represent the height of the small triangle and b represent the height of the big triangle. Half the base is 8 inches, 16/2/ Using Pythagoras:

a² + 8² = 10²

a = 6

Also:

b² + 8² = 17²

b = 15

Length of diagonal = a + b = 6 + 15 = 21 in

The length is the kite diagonal that is shown is 21 inches.

Find out more on Kite at: https://brainly.com/question/25776644