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6. Andre and Clare are discussing triangle ABC that has a right angle at C and a

hypotenuse of length 15 units. Andre thinks the triangle could have legs that are 9 and

12 units long. Clare thinks angle B could be 20 degrees and then side BC would be 14.1

units long. Do you agree with either of them? Explain or show your reasoning.

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Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

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