Given: D be the midpoint on ACBD=6.5cm Concept used: The midpoint of the hypotenuse of a right triangle is the circumcenter of the triangle. All the vertices of a triangle are at an equal distance from the circumcenter. Calculation:
According to the concept, In △ABC BD=AD=DC=6.5cm So, AC=6.5×2 ⇒AC=13cm As △ABC is a right angle triangle so, AB2+BC2=AC2 ⇒AB2+BC2=132 ⇒AB2+BC2=169cm2 ∴AB2+BC2 is equal to 169 square cm .