Question

If the sides of a triangle are 26 cm, 20 cm and 15 cm, then the triangle is right angled.

• A. True
• B. False

Answer 1

Answer: (B)

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.

${20}^2+{15}^2=(5\times 4{)}^2+(5\times 3{)}^2$

=$5^2(4^2+3^2)$

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

=${25}^2$ $\ne {26}^2$

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

$\text{Hence (B)}$