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Maths-

General

Easy

Question

In figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm, calculate the length of BC

15 cm
18 cm
21 cm
12 cm

hint Hint:

We are given a right-angled triangle ABC. We are given two of its side. Angle B is 90°. We have to find the remaining side. We will use Pythagoras theorem to find the solution.

The correct answer is: 12 cm

The given triangle is ABC.
The given values are ∠ABC = 90°
AB = 9 cm
AC = 15 cm.
For the given triangle AC is the hypotenuse.
We will use Pythagoras theorem to solve the question.
Pythagoras theorem states that the sum of the square of two sides is equal to the square of the hypotenuse.
AC² = AB² + BC²
We have to find the value of BC.
Substitute all the values.
15² = 9² + BC²
225 = 81 + BC²
Subtract 81 from both the sides and rearranging the equation for BC.
BC² = 225 - 81
= 144
Take square root of both the sides.
BC = 12 cm.
So, the length of the remaining side is 12 cm.

For such questions, we should know the Pythagoras theorem of a triangle.

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