Q14 of 142 Page 88

Write the correct answer from the given four options.

The hypotenuse of a right triangle with its legs of lengths 3x × 4x is

Using Pythagoras triplets: (2m)2 + (m2 – 1)2 = (m2 + 1)2


2m = 4x


⇒ m = 2


m2 – 1 = (4-1)x = 3x


⇒ m2 + 1 = (4 + 1)x = 5x

More from this chapter

All 142 →
12

Write the correct answer from the given four options.

The sum of first n odd natural numbers is

 13

Write the correct answer from the given four options.

Which of the following numbers is a perfect cube?

 15

Write the correct answer from the given four options.

The next two numbers in the number pattern 1, 4, 9, 16, 25 ……..are

 16

Write the correct answer from the given four options.

Which among 432, 672, 522, 592 would end with digit 1?