Question

The length of the hypotenuse of a right triangle is 13cm. If one the side of the triangle be 5cm long,find the length of the other side

Answer 1

Let, AB be 13cm and BC be 5cm, we have to find AC?
Hypotenuse sq.= Adjacent sq. + Opposite sq.
AB sq.= BC sq.+ AC sq.
Therefore, 13 sq.= 5 sq.+ AC sq.
AC sq.= 13 sq.-5 sq.
AC sq.= 169-25
AC sq.= 144
AC= √144
AC= 12cm
Therefore, In triangle ABC, AB=13cm, BC=5cm, CA=12cm.
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