Question

In a right-angled triangle, if the base is 6 cm and the hypotenuse is 10 cm, find the length of remaining side.
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Answer 1

Answer:

Step-by-step explanation:

In a right-angled triangle,

the length of the base is 6 cm and

the length of the hypotenuse is 10 cm

From Pythagoras principle

$(perpendicular)^{2} +(base)^{2} =(hypotenuse)^{2}$

$(perpendicular)^{2}=(hypotenuse)^{2}-(base)^{2}\\or, perpendicular=\sqrt{(hypotenuse)^{2}-(base)^{2}\\}$

or, $perpendicular=\sqrt{(10)^{2}-(6)^{2}\\}$

or, $perpendicular=\sqrt{100-36} =\sqrt{64}=8$

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