We can use the Pythagorean Theorem to find the length. Diagonals of a rectangle divide the rectangle into two or four triangles. With one diagonal, a rectangle is divided into two right triangles since rectangles contain 4 right angles. So, because we have a right triangle, we can apply the Pythagorean Theorem.
Formula:
a^2+b^2=c^2, where a=leg 1, b=leg2, and c=hypotenuse.
Input the lengths into the formula; we are given a leg length and the hypotenuse length:
(5)^2+b^2=25^2
We must solve for b, which will be the length of the triangle of leg 2.
Simplify;
25+b^2=625
Subtract 25 from both sides to isolate “b:”
b^2=600
Take the square root of both sides to cancel out the power of 2 on “b:”
√b^2=√600
b≈24.494
I’m assuming we should round to the nearest inch, which would be 24 inches
So, the answer is 24in. or ≈ 24.494in. depending on what the question wants.