Question

Need help with this asap!

Answer 1

Answer:

$b=8.1 cm$

Step-by-step 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

$\sqrt{b^2}=\sqrt{65} \\b=8.062...\\b=8.1$

Done.

Answer 2

Answer:

The answer to your question is   b = 8.06 cm

Step-by-step 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