Question

I need help please and thank you

Answer 1

We can solve for “a” using the Pythagorean theorem.

Pythagorean Theorem: a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² + 36 – 36 = 64 – 36

a² = 28

√a² = √28

a = 5.29150

Round to the nearest tenth.

5.29150 -> 5.3

Hence, “a” equals approximately 5.3

Best of Luck!

Answer 2

a =5.3

Explanation:

The Pythagorean theorem is

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 6^2 = 8^2

a^2 +36 = 64

Subtract 36 from each side

a^2 +36-36 = 64-36

a^2 =28

Take the square root of each side

sqrt(a^2) = sqrt(28)

a = 5.291502622

To the nearest tenth

a =5.3