Question

what is the height AB if hypotenuse,AC=10cm and base BC=6cm in a right triangle?​

Answer 1

Answer:

AB=8cm is correct answer.

Answer 2

Answer:

AC=10cm

BC=6cm

AB is hypotenuse.

By pythagorus theorem:

$(AC) ^{2} = (AB )^{2} + (BC)^{2}$

$( {10}^{2} ) = (AB)^{2} + ( {6}^{2} )$

$100 = (AB) ^{2} + 36$

$(AB) ^{2} = 100 - 36$

$(AB) ^{2} = 64$

$AB = \sqrt{64}$

$AB = 8cm$

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