Question

Please help!! just need a simple yes or no

thank u!!

Answer 1

1. Yes
2. Yes
3. No

Explanation:

Pythagoras theorem states that, a² + b² = c² [where c is the longest side of the triangle and a and b are the other two sides]

If a² + b² = c² , then the triangle is right angled.

1. a = 6, b = 8, c = 10

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`\sf a^2 + b^2 = c^2`

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`\sf 6^2 + 8^2 = 10^2`

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`\sf 36 + 64 = 100`

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`\sf 100 = 100`

Hence It is right triangle .

2. a = 8, b = 15, c = 17

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`\sf a^2 + b^2 = c^2`

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`\sf 8^2 + 15^2 = 17^2`

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`\sf 64 + 225 = 289`

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`\sf 289 = 289`

Hence It is a right triangle .

3. a = 17, b = 24 and c = 26

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`\sf a^2 + b^2 = c^2`

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`\sf 17^2 + 24^2 = 26^2`

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`\sf 289 + 576 = 676`

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`\sf 865 = 676`

Hence It is not a right triangle .