Question

If the sides of a triangle are 50 cm, 40 cm and 30 cm, then the triangle is right angled.

• A. True
• B. False

Answer 1

Answer: (A)

The given triangle is right angled if the square of the longest side is equal to the sum of the squares of the other two sides.

${40}^2+{30}^2=(10\times 4{)}^2+(10\times 3{)}^2$

=${10}^2(4^2+3^2)$

=${10}^2\left(5^2\right)......(3-4-5\text{Pythagoras Triplet})$

=${50}^2$

$\text{Hence the statement is true.}$

$\text{Hence (A)}$