Question

Find the length of the third side. If necessary, round to the nearest tenth.

Answer 1

Answer:

a = 5.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

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

a^2 = 64-32

a^2 =28

Taking the square root of each side

sqrt(a^2)  = sqrt(28)

a=5.29150

To the nearest tenth

a = 5.3

Answer 2

Use the Pythagorean theorem

Side = sqrt(8^2 - 6^2)

Side = sqrt(64-36)

Side = sqrt(28)

Side = 5.29

Rounded to nearest tenth = 5.3