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2 years ago

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)

Mathematics

1 answer:

timurjin [86]2 years ago

7 0

Answer:

Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

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Paha777 [63]

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$H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\$

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Work Shown:

$SA = 2(LW + LH + HW)\\\\2(LW + LH + HW) = SA\\\\LW + LH + HW = \frac{SA}{2}\\\\LH + HW = \frac{SA}{2} - LW\\\\H(L + W) = \frac{SA}{2} - LW\\\\H = \frac{\frac{SA}{2} - LW}{(L + W)}\\\\H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\$

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