Question

∆PQR is right angled at Q.A and B are the midpoints of sides PQ and PR respectively.If PQ=10cm and PR=26cm,then find the length of AB.

Answer 1

The length of QR by pythogras theorem is
√26^2-10^2
=√676-100
=√576
=24
So, QR is 24cm.
Now, QA=5cm and
QB=12cm
By pythogras theorem AB is
√5^2+12^2
=√25+144
=√169
=13
Thus, AB is equal to 13cm