Question

Calculate the length of the unknown side in each of the following right-angled triangles.
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Answer 1

Answer :-

Perpendicular = 60 cm.

Explanation :-

This is a figure of right angled triangle.

In this figure,

• Hypotenuse = 61 cm.
• Base = 11 cm.

And, we have to find Perpendicular.

We can use Pythagoras theorem here,

Formula :- H² = P² + B²

Substitute the Values.

➝ H² = P² + B²

➝ (61)² = P² + (11)²

➝ P² + 121 = 3721.

➝ P² = 3721 - 121.

➝ P² = 3600.

➝ P = √3600.

➝ P = 60 cm.

Therefore, Perpendicular = 60 cm.

Answer 2

GIVEN :

• Hypotenuse = 61 cm
• Base = 11 cm

TO FIND :

• Perpendicular = ?

SOLUTION :

We can find the other side using Pythagoras theorem.

Hypotenuse² = perpendicular² + Base²

Substitute the given values,

we get

➠ H² = P² + B²

➠ (61)² = P² + (11)²

➠ P² + 121 = 3721

➠ P² = 3721 - 121

➠ P² = 3600

➠ P = $\sf \sqrt{3600}$

➠ P = 60 cm

$\quad \large \red {\boxed {\tt P \: = \: 60 \: cm}}$

Therefore, perpendicular is = 60 cm. ✔︎