Question

Find the length of the hypotenuse of a right angled triangle if remaining sides are 10 cm and 24 cm​

Answer 1

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Given Information :

• Measure of remaining sides of a right angled triangle are 10 cm and 24 cm.

To calculate :

• Length of hypotenuse.

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Clarification :

Here, we have to find the hypotenuse of a right angled triangle where we are given the measure of its remaining sides, that is 10 cm and 24 cm.

Basically, we have to apply here pythagoras property. Here, remaining sides refer to the base and perpendicular of a right angled triangle.

☀ Pythagoras property :

According to the pythagoras property,in a right angled triangle, square of the length of hypotenuse is equivalent to the sum of squares of the hypotenuse and the base.

So, let's commence the steps!

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Explication of steps :

We have,

» Length of remaining sides = 10 cm and 24 cm

Here, let

• 10 cm = Base
• 24 cm = Perpendicular

By using pythagoras property,

• H² = B² + P²

➝ H² = (10cm)² + (24 cm)²

➝ H² = 100 cm² + 576 cm²

➝ H² = 676 cm²

➝ H = $\sf { \sqrt{676 \: cm^2} }$

➝ H = 26 cm

Therefore, length of hypotenuse of a right angled triangle is 26 cm.

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