Question

Find whether the sides of the $△$ as given below form a $rt\angle d△$ or not. 8 cm, 15 cm and 17 cm.
State true if yes and false otherwise.

• A. True
• B. False

Answer 1

The correct option is A True

A $△$ is $rt\angle d△$ triangle if the square of the largest side is equal to the sum of squares of the smaller sides.

Here, Square of largest side = ${17}^2=289$

Also, Sum of square of smaller sides = $8^2+(15{)}^2=64+225=289$

Here, Square of largest side = Sum of square of smaller sides

Hence, the triangle is a $rt\angle d△$ .