Q94 of 142 Page 88

Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

Given: sides of triangle 6cm, 10cm and 8cm

As we know,

For right angle triangle, square of one side must equal to sum of square of other two sides.

i.e.

(10)² = (6)² + (8)²

100 = 36 + 64

⇒ 100 = 100

Hence, 6cm, 10cm and 8cm are sides of triangle.

Using prime factorisation, find which of the following are perfect cubes.

(a) 128 (b) 343

Using distributive law, find the squares of

(a) 101 (b) 72

Write the Pythagorean triplet whose one of the numbers is 4.

Using prime factorisation, find the square roots of

(a) 11025 (b) 4761