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3 years ago

14

Determine if a triangle with the given dimensions is a right triangle. If it is, which angle is the right angle?

1 answer:

Arte-miy333 [17]3 years ago

6 0

To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows:

c² = a² + b²
10² = (5√3)² + 5²
100 = 75 + 25
100 = 100

Therefore, the triangle with the given measurements is a right triangle. The angle that would have a right angle is angle BAC. Hope this answers the question. Have a nice day. Feel free to ask more questions.

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<u>figure</u> 1.

by using trigonometry,

=》

$\sin(60) = \dfrac{5 \sqrt{3} }{y}$

=》

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<u>figure</u> 2.

Since, it's an isosceles triangle, w = y,

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${w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2}$

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$2 {w}^{2} = 98$

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