Question

3. What is the area of this triangle?26 cm10cm24 cm​

Answer 1

Answer:

The area of the triangle will be 120 square cm.

Step-by-step 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  

= $\frac{1}{2} \times \textrm {(Base)} \times \textrm {(Height)} = \frac{1}{2} \times 24 \times 10 = 120$ square cm. (Answer)