The area of a triangle is 250 cm². The ratio of its base to its height is 4: 5. Find the length of its height.

Correct option is D

Given:
Area of a triangle = 250 sq. m
Base : Height = 4 : 5
Formula Used:
Area of a triangle = $$\frac 12$$​× base × height
Solution:
Let the base be 4x
Then height = 5x
​$$\text{Area of a triangle} = 250 \, \text{m}^2 \\\ \\\;\Rightarrow\; \frac{1}{2} \times 4x \times 5x = 250 \\\ \\\;\Rightarrow\; 10x^2 = 250 \\\ \\\;\Rightarrow\; x = 5 \\\ \\\;\Rightarrow\; \text{Height} = 5x = 25\, \text{m}\\\ \\$$​​