Question

find the area of a right angle triangle whose base is 5 cm and the hypotenuse is 13 cm​

Answer 1

base = 5cm

Hypotenuse 13 cm

Perpendicular will be 12 cm

Area = 1/2 × 5 × 12 = 30 sq. cm

Answer 2

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Find the area of a right angle triangle whose base is 5 cm and the hypotenuse is 13 cm.

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$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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Given

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• Base = 5cm

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• Hypotenuse = 13cm

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To Find

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• Area of Triangle

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Solution

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$\bf \orange{ {Hypotenuse}^{2} = {Base}^{2} + {Perpendicular}^{2} }$

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$\bf \implies {13}^{2} = {5}^{2} + {Perpendicular}^{2}$

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$\bf \implies{Perpendicular}^{2} = {13}^{2} - {5}^{2}$

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$\bf \implies{Perpendicular}^{2} = 169 - 25$

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$\bf \implies{Perpendicular}^{2} = 144$

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$\bf \implies{Perpendicular} = \sqrt{144}$

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$\bf \implies{Perpendicular} = 12cm$

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$\bf \pink{Area \: of △ = \frac{1}{2} \times base \times height}$

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$\bf \implies \frac{1}{2} \times 5 \times 12$

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$\bf \implies1 \times 5 \times 6$

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$\bf \implies {30cm}^{2}$

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Therefore, Area of triangle is 30cm square.