Question

In right triangle ABC, the lengths of its legs are given as a = 6 cm and b = 4.5 cm. Find the length of
its hypotenuse.
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Answer 1

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Answer 2

Given :–

In right ∆ABC,

• a = 6 cm.
• b = 4.5 cm.

To Find :–

• Hypotenuse (c) of a right triangle.

Solution :–

Given that,

• Base = a = 6 cm.

• Perpendicular = b = 4.5 cm.

• Hypotenuse = c = ?

By the Pythagoras theorem,

→ c² = a² + b²

→ c² = (6)² + (4.5)²

→ c² = 36 + 20.25

→ c² = 56.25

→ c = √56.25

We know that,

• √5625 = 75

So,

• √56.25 = 7.5

→ c = 7.5

Hence,

The hypotenuse of a right triangle is 7.5 cm.

Check :–

By the Pythagoras theorem,

→ c² = a² + b²

Values of a, b and c are :-

• a = 6 cm.
• b = 4.5 cm.
• c = 7.5 cm.

Now, put all the three values in the Pythagoras theorem formula.

→ (7.5)² = (6)² + (4.5)²

→ 7.5 × 7.5 = 6 × 6 + 4.5 × 4.5

→ 56.25 = 36 + 20.25

→ 56.25 = 56.25

Since, the L.H.S. and the R.H.S. are equal.

So, the value of hypotenuse = 7.5 is correct.