Question

in an isosceles right triangle the hypotenuse is 8.4 in find the length of a side to the nearest tenth of an inch

Answer 1

In an isosceles right triangle, the two legs will be equal to each other.  We can use the Pythagorean Theorem as follows:
a² + a² = 8.4²  where 'a' is the length of the two equal legs
2a² = 70.56
$a^{2} = \frac{70.56}{2}$
$a= \sqrt{ \frac{70.56}{2} }$
a = 5.9 to the nearest tenth of an inch.

Answer 2

a2+a2=8.42

2a2=8.42

a2=(8.4)22

a2=70.562

a2=35.28

a≈5.9