Question

Pls someone help me or i’ll faint

Answer 1

see explanation

Explanation:

Using Pythagoras' identity in the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

DF² = DE² + EF² , then

(a)

DF² = 16² + 12² = 256 + 144 = 400 ( take square root of both sides )

DF =
`√(400)` = 20

(b)

DF² = 7² + 2² = 49 + 4 = 53 ( take square root of both sides )

DF =
`√(53)` ≈ 7.28 ( to 2 dec. places )

Answer 2

Answer:
a) DF = 20

b) DF =
Radical Form = sqrt(53)
Decimal Form = 7.28