The length of the hypotenuse of the given right-angled triangle is 29 cm.
What is the hypotenuse?
The longest side of a right-angled triangle, i.e. the side opposite the right angle, is called the hypotenuse in geometry.
Pythagorean theorem :
If p be the length of the hypotenuse of a right-angled triangle, q and r be the lengths of the other two sides, then
p² = q² + r²
How to solve this problem?
Here, the lengths of the other two sides of the given right-angled triangle are 20 cm and 21 cm. Put these values in the above theorem to get the desired result.
Now, p² = (20)² + (21)²
= 400 + 441
= 841
i.e. p = √(841)
= 29
Therefore the length of the hypotenuse is 29 cm.
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