Question

3. What is the area of this triangle?
26 cm
10cm
24 cm
​

Answer 1

The area of the triangle will be 120 square cm.

Explanation:

The lengths 26 cm, 10 cm, and 24 cm are the three sides of the triangle.

Now, 10² + 24² = 100 + 576 = 676 = 26²

Therefore, the side lengths of the triangle obeys the Pythagoras Theorem.

Hence, the triangle is a right triangle with hypotenuse 26 cm, and the base 24 cm and the height 10 cm.

Therefore, the area of the triangle will be

=
`(1)/(2) * \textrm {(Base)} * \textrm {(Height)} = (1)/(2) * 24 * 10 = 120` square cm. (Answer)