Question

Need help with this asap!

Answer 1

`b=8.1 cm`

Explanation:

Use the Pythagorean theorem:

`a^2+b^2=c^2`

9 cm is the hypotenuse (c) and 4 cm is a:

`4^2+b^2=9^2`

Simplify

`16+b^2=81`

Isolate
`b^2` by subtracting 16 from both sides

`16-16+b^2=81-16\\b^2=81-16`

Subtract

`b^2=65`

Find the square root

`√(b^2)=√(65) \\b=8.062...\\b=8.1`

Done.

Answer 2

The answer to your question is b = 8.06 cm

Explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

c² = a² + b²

-Solve for b²

b² = c² - a²

-Substitution

b² = 9² - 4²

-Simplification

b² = 81 - 16

b² = 65

-Result

b = 8.06 cm