The sides of a triangle are in the ratio 10: 24: 26 and its perimeter is 300 m. What is its area? 

3000 sq m

The sides of the triangle indicates that it is a right angled triangle. So, according to the question:

60 x = 300 

x = 5 cm

So, the sides are: 

10 x 5, 24 x 5 and 26 x 5

50, 120, 130

Thus, the area of the triangle can be calculated as follows:

\(\frac{1}{2 }\) x b x h

\(\frac{ 1}{2 }\) x 50 x 120

3000 m²