Question

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

Answer 1

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.

Answer 2

Given :

• Shape of Triangle = Right Angled Triangle
• Perpendicular (a) = 32cm
• Base (b) = 60cm

To Find :

• Length of Hypotenuse

Solution :

✰ In this question, Perpendicular and Base of a Right Angled Triangle are given and we have to find the Hypotenuse of the Triangle.

✰We know that, For finding the Hypotenuse we have to use Pythagoras Theorem. Pythagoras Theorem states that (Hypotenuse)² = (Perpendicular)² + (Base)².

⠀

Putting the Values :

➟ (Hypotenuse)² = (a)² + (b)²

➟ (Hypotenuse)² = (32)² + (60)²

➟ (Hypotenuse)² = 1024 + 3600

➟ (Hypotenuse)² = 4624

➟ Hypotenuse = √4624

➟ Hypotenuse = 68cm

Thus Hypothenuse of Triangle is 68cm

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