the legs of a right triangle are in ratio 3:4 and its area is 1014cm2 find its hypotenuse
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1014 = 1/2 × b × h
1014 = 1/2 × 3x × 4x
1014 = 6x²
x² = 1014/6
x = √ 169
x = 13cm
so, base = 39cm ; height = 52cm
Ac² = Ab² + Bc²
Ac² = 39² + 52²
Ac² = 4225
Ac = √4225
Ac = 65 cm
Hypotenuse is 65 cm.
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1014 = 1/2 × 3x × 4x
1014 = 6x²
x² = 1014/6
x = √ 169
x = 13cm
so, base = 39cm ; height = 52cm
Ac² = Ab² + Bc²
Ac² = 39² + 52²
Ac² = 4225
Ac = √4225
Ac = 65 cm
Hypotenuse is 65 cm.
___________________
Mark brainliest if it helps, Thanks.
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