Question

Hi! Any help is appreciated (:

Answer 1

√65

Explanation:

Since this is a right triangle, we can use Pythagorean Theorem to solve for the missing side.

Pythagorean Theorem:
`a^2+b^2=c^2`

• a = leg

• b = leg

• c = hypotenuse

In this instance, we are given a leg and the hypotenuse. Substitute the values into the theorem and solve for the missing side.

`4^2+b^2=9^2\\\\16=b^2=81\\\\b^2=65\\\\b=√(65)`

Therefore, the value for the missing side is √65.

Answer 2

Answer: Second Choice. √65

Explanation:

Given information

a = 4

b = side (unknown)

c = 9

Given expression

b² = c² - a²

Substitute values into the expression

b² = (9)² - (4)²

SImplify by exponents

b² = 81 - 16

b² = 65

Square root both sides

√(b²) = √65

b = √65

Hope this helps!! :)

Please let me know if you have any questions