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A triangle has sides of lengths 24, 143, and 145. Is it a right triangle? Explain.

User Noah Tran
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Answer:

Yes, the given triangle is right angled

Explanation:

To confirm if the given triangle is right angled, we have to apply pythagoras theorem. It states, if a triangle is right angled then

Hypotenuse² = Base² + Perpendicular²

We know that the longest side is hypotenuse.

ie; (145)² = (143)² + (24)²

(145)² = 20449 + 576

21025 = 21025

As LHS = RHS, it is clear that the given triangle with sides 24, 143 and 145 units is right angled

User Alexander Taylor
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