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3 votes
In the diagram, what is AC?
A. 6
B. 12.33
C. 10
D. 12

In the diagram, what is AC? A. 6 B. 12.33 C. 10 D. 12-example-1

2 Answers

7 votes

The answer is: C. 10

User Evgeniy Kuzmin
by
9.1k points
0 votes

The exercise is solved by applying the Pythagorean Theorem:

h^2= a^2 + b^2

h= √(a^2 + b^2)

h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).

a and b: legs (the sides that form the right angle).

The first objective will be to find the value of AD:

AD= AB - DB

We don't know the DB leg, so we proceed to find it clearing it from the Pythagorean equation:

h^2= a^2 + b^2

a= √ (h^2 - b^2)

a= √ (17^2 - 8^2)

a= DB= 15

Then, AD is:

AD= 21-15= 6

Once we find the value of the AD leg, we can find the hypotenuse AC:

h= √ (a^2 + b^2)

h= √ (6^2 + 8^2)

h= AC= 10

The answer is: C. 10

User Nivid Dholakia
by
8.0k points

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