Question

In △DEF, ∠F is a right angle. Find the remaining side and angles. e = 11, f = 15

Answer 1

d = 10.198 or 10.2

Step-by-step explanation:

Remember, the opposite side of the angle is the corresponding length. Meaning the length across ∠F would be f = 15.

If you were to physically draw the triangle, 'f' would be the hypotenuse.

Using Pythagorean Theorem,
`a^2 + b^ = c^2\\` or in this case,
`d^2 + e^2 = f^2`, plug in the given numbers.

`d^2 + 11^2 = 15^2`

`d^2 + 121 = 225\\`

`d^2 = \sqrt{104`

`d = 10.198`