Question

*If the length of the hypotenuse of a right-angled triangle is 13 cm and one side of the right- angled triangle is 5 cm, what is the length of the other side?*

1️⃣ 12 cm
2️⃣ 9 cm
3️⃣ 11 cm
4️⃣ 12.5 cm

Answer 1

ANSWER:

Option 1, 12 cm

SOLUTION:

GIVEN: Length of hypotenuse is 13 cm

and another side is 5 cm.

Let the unknown side be "x" cm

In any right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides. This is called Pythagoras theorem.

==> Base² + Altitude² = Hypotenuse²

==> x² + 5² = 13²

==> x² = 13² - 5²

==> x² = 169 - 25

==> x = √144

==> x = 12

∴ Length of the third side is 12 cm ✅