Question

triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, (overline{gj}), is drawn from the right angle to the hypotenuse. what is the length of (overline{gj})? 2 units 4 units 6 units 8 units

Explanation:

Step1: Recall the property of the altitude in an isosceles right - triangle

In an isosceles right - triangle, the altitude drawn from the right angle to the hypotenuse is half the length of the hypotenuse.

Step2: Calculate the length of \( \overline{GJ} \)

Given the hypotenuse \( FH = 16 \) units. Using the property \( GJ=\frac{1}{2}FH \).
Substitute \( FH = 16 \) into the formula: \( GJ=\frac{1}{2}\times16 \).

$$GJ = 8$$

Answer:

8 units