Question

Solve for x, round to the nearest 10th.

Answer 1

X=44.9

Explanation:

Hello There!

Because this is a right triangle we can use the Pythagorean theorem

When solving for missing leg we use this equation

`c^2-b^2=a^2`

where c = hypotenuse and b = given leg and a = missing side length

now we plug in the given values into the formula

`45^2-3^2=a^2`

`45^2=2025`

`3^2=9`

`2025-9=2016`

`a^2=2016`

`√(a^2)=a`

`√(2016)=44.89988864`

final step: round to the nearest tenth

so we can conclude that the missing angle is equal to 44.9

Notes:

• The Pythagorean theorem only works with right triangles

• We took the square root of a^2 and 253 to get rid of the power on a

• a is the equivalent of the missing angle (x)