triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude…

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

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

Answer

Explanation:

Step1: Recall property of 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 the altitude

Let the length of the hypotenuse be (c = 16) units. The length of the altitude (h) (in this case (GJ)) is given by (h=\frac{c}{2}). So, (GJ=\frac{16}{2}=8) units.

Answer:

8 units