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Pls someone help me or i’ll faint

Pls Someone Help Me Or Ill Faint class=

Sagot :

Answer:
a) DF = 20

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

Answer:

see explanation

Step-by-step 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 = [tex]\sqrt{400}[/tex] = 20

(b)

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

DF = [tex]\sqrt{53}[/tex] ≈ 7.28 ( to 2 dec. places )