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