Question

B

8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter

Answer 1

c = 10.6

Explanation:

`h {}^(2) = p {}^(2) + b {}^(2) \\ c {}^(2) = (8) {}^(2) + (7) {}^(2) \\ c = √(64 + 49) \\ c = √(113) \\c = 10.6`

Answer 2

10.6

Explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )