Question

given below are the length of the legs of a right ∆abc. in each case, find the length of the hypotenuse of ∆abc : (¡) a=32cm, b= 60cm (¡¡) a=28m, b=24m (¡¡¡) a=32cm, b=24cm​

Answer 1

Triangles

Pythagoras Theorem and its Converse

In right ABC , the lengths...

In right △ABC, the lengths of its legs are given as a=6cm and b=4.5cm. Find the

ANSWER

Let AB=10cm

Hypotenuse (AC)=26cm

BC=?

Then, by Pythagoras theorem

AC2=AB2+BC2

c2=a2+b2

c2=62+(4.5)2

c2=36+20.25

c2=56.25

Sending powers 2 from LHS to RHS it becomes square root 

c=56.25

c=7.5cm