The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be
a. 24 cm²
b. 40 cm²
c. 48 cm²
d. 80 cm²
Solution:
Given, the base of a right triangle = 8 cm
Hypotenuse = 10 cm
We have to find the area
By using Pythagorean theorem,
Base² + height² = hypotenuse²
(8)² + height² = (10)²
height² = 100 - 64
height² = 36
Taking square root,
Height = 6 cm
Area of triangle = 1/2 × base × height
= 1/2 × 8 × 6
= 4 × 6
= 24 cm²
Therefore, the area of right triangle is 24 cm²
✦ Try This: The base of a right triangle is 3 cm and hypotenuse is 5 cm. Its area will be
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 12
NCERT Exemplar Class 9 Maths Exercise 12.1 Sample Problem 1
The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be a. 24 cm², b. 40 cm², c. 48 cm², d. 80 cm²
Summary:
A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle. The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be 24 cm²
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