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a = 21

b = 21

Solution:

Figure (1): The given triangle is a right angle triangle.

One leg of the triangle (b) = 20

Hypotenuse of the triangle (c)  = 29

Another leg of the triangle = a

Using Pythagoras theorem, find a:

Taking square root on both sides, we get

⇒ a = 21

Hence a = 21 is the correct answer.

Figure (2): The given triangle is a right angle triangle.

One leg of the triangle (a) = 72

Hypotenuse of the triangle (c)  = 75

Another leg of the triangle = b

Using Pythagoras theorem, find b:

Taking square root on both sides, we get

⇒ b = 21

Hence b = 21 is the correct answer.

step-by-step explanation:

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