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damaskus [11]
3 years ago
10

For the right triangle shown, what is the tangent of angle A?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

The correct answer is option C   3/4

Step-by-step explanation:

It is given a right angled triangle ABC

<u>To find the value of x</u>

Hypotenuse² = Base² + height²

(x + 2)² = x² + (x + 1)²

x² + 4x + 4 = x² + x² + 2x + 1

x² -2x -3 = 0

We get x = 3 and x = -1

We take positive value x = 3

<u>To find Tan A</u>

Tan A = Opposite side/Adjacent side

 = BC/AB = x/(x + 1) = 3/4

Therefore the correct answer is option C.   3/4

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Answer:

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