In triangle ABC find the length of hypotenuse if a=32 cm b=60 cm. – InterviewSolution

1.

In triangle ABC find the length of hypotenuse if a=32 cm b=60 cm.

Answer»

Answer :-

The length of the hypotenuse is 68 cm.

Given :-

In triangle ABC,
A = 32 cm.
B = 60 cm.

To find :-

The length of the hypotenuse.

Step-by-step EXPLANATION :-

In this QUESTION, we have to find the length of the hypotenuse of triangle ABC when A = 32 cm and B = 60 cm.

It's a right ANGLED triangle, because only a right angled triangle can have a hypotenuse. Now, we can use the PYTHAGORAS theorem since it's a right angled triangle.

The Pythagoras theorem states that in a right angled triangle, (Hypotenuse)² = (Base)² + (Height)².

Let's take A and B as the base and height.

Now let's find the hypotenuse.

Calculations :-

Applying the Pythagoras theorem,

$\implies\sf {Hypotenuse}^{2} = {A}^{2} + {B}^{2}$

$\implies \sf{Hypotenuse}^{2} = {32}^{2} + {60}^{2}$

$\implies\sf {Hypotenuse}^{2} = 1024 + 3600$

$\implies\sf{Hypotenuse}^{2} = 4624$

$\implies\sf Hypotenuse = \sqrt{4624}$

$\implies\sf Hypotenuse = 68.$

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Hence, the hypotenuse = 68 cm.

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