Question

given our side length of three angle identify rights angle triangle among this 6 cm 8cm 10cm​

Answer 1

Given : three sides of a triangle are 6cm , 8cm and 10cm.

To Find : Whether it is a right angled triangle or not.

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❍ In a right angled triangle, sum of the squares of perpendicular and base is equal to the sum of the square of hypotenuse .

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$\star \: \underline{\boxed{\sf\pink{ {Perpendicular}^{2} + Base {}^{2} = {Hypotenuse}^{2} }}}$

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Here

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• Perpendicular = 6cm
• Base = 8cm
• Hypotenuse = 10cm

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Put the values in the formula and solve.

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$\sf:\implies \: P {}^{2} + B {}^{2} = H {}^{2} \\ \\ \\ \sf:\implies \: (6) {}^{2} + (8) {}^{2} = (10) {}^{2} \\ \\ \\ \sf:\implies \: 36 + 64 = 100 \\ \\ \\ \sf:\implies \: \underline{\boxed{\mathfrak\pink{100 = 100}}} \: \bigstar \\ \\ \\ \\ \sf \therefore{ \underline{Hence, \: the \: triangle \: is \: a \: right \: angled\: triangle.}}$