1 Answer

Picklu · Answer 1 · 2021-01-23T11:36:16+0000

Answer:

Option A is correct

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

$FH=√(13)=3.606\,\,units$

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