Answer:
21 inches.
Explanation:
From the question, we are given the following parameters or data or information: The legs of the triangles are 10 inches and 17 inches, perimeter of the rectangle is 146 units and length of the base for both triangles is 16 inches long.
Step one: the first step to do in this question is to determine or Calculate the value for the height of the smaller triangle.
Thus, 10^2 = (16/2)^2 + (b1)^2.
b1 = √ (100 - 64) = √ 36 = 6.
Step two: the second step to do in this question is to determine or Calculate the value for the height of the bigger triangle.
17^2 = (16/2)^2 + (b2)^2.
b2 = √ (289 - 64) = √ 225 = 15.
Step three: this is the lat step and it involves the addition of our values in step one and two above, that is;
6 + 15 = 21.
Thus, length of the kite’s other diagonal = 21 inches.