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Analyze the diagram below and complete the instructions that follow.F45E28DSolve AEFD. Round the answers to the nearest hundredth.

Analyze The Diagram Below And Complete The Instructions That FollowF45E28DSolve AEFD Round The Answers To The Nearest Hundredth class=

Sagot :

Since this is a right triangle we can use trig functions

First we can find the length of the hypotenuse using the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

28^2 + 45^2 = c^2

784+2025 = c^2

2809 = c^2

Taking the square root of each side

sqrt(2809) = sqrt(c^2)

53 = c

The hypotenuse, DR = 53

Then we can find the measurements of the angles

sin F = opp/ hyp

sin F = 28/53

Taking the inverse sin of each side

sin D = opp/ hyp

sin D = 45/53

Taking the inverse sin of each side