Question

1. when the length of each leg is 14 units, the ratio of the hypotenuse to the leg is: 5. measure the length of each leg and the hypotenuse of this triangle. af = units ag = units fg = units m∠afg = 45°. m∠agf = 45°.

Explanation:

Step1: Identify triangle type

It's a 45 - 45 - 90 right - triangle.

Step2: Recall side - length ratio

In a 45 - 45 - 90 triangle, if leg length is $a$, hypotenuse $c = a\sqrt{2}$. Given leg length $a = 14$, then $c=14\sqrt{2}$.

Answer:

$AF = 14\sqrt{2}$ units, $AG = 14$ units, $FG = 14$ units