Question

FH is the altitude to the hypotenuse EG. what is the length of FH. Really need some help with this!

Answer 1

Answer:

Option A is correct

Step-by-step explanation:

Given: FH is the altitude to the hypotenuse EG

To find: length of FH

Solution:

According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of other two sides.

In $\Delta EHF$,

$\angle EHF=90^{\circ}$

So,

$EF^2=EH^2+FH^2$

Put EH = 6 units and EF = 7 units

$7^2=6^2+FH^2\\49=36+FH^2\\49-36=FH^2\\13=FH^2$

Option A is correct

Take square root on both sides

$FH=\sqrt{13}=3.606\,\,units$