The sides of a right triangle whose hypotenuse is 17cm are _________ and _________. Fill in the blanks to make the statement true.

Solution:

Given, the sides of a right triangle whose hypotenuse is 17cm are _________ and _________.

We have to fill in the blanks to make the statement true.

For every natural number m > 1, 2m, m²-1 and m² + 1 form a pythagorean triplet.

By Pythagorean theorem,

m² + 1 = (2m)² + (m² - 1)

m² + 1 = 17

m² = 17 - 1

m² = 16

Taking square root,

m = 4

Now, 2m = 2(4) = 8 cm

m² - 1 = 4² - 1

= 16 - 1

= 15 cm

Therefore, the required sides are 8 cm and 15 cm.

✦ Try This: The sides of a right triangle whose hypotenuse is 26 cm are _________ and _________. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 40

The sides of a right triangle whose hypotenuse is 17cm are _________ and _________. Fill in the blanks to make the statement true

Summary:

The sides of a right triangle whose hypotenuse is 17cm are 8 cm and 15 cm

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