The base and the height of a triangle are in the ratio 3 : 2. If its area is 75 cm², find its base and height. *
Answers
Answered by
2
Answer:
Step-by-step explanation:
Ratio of base to height = 3 : 2
Therefore, base = 3x, Height = 2x
Area of triangle = 75sq.cm
Area of triangle = 1/2 x base x height
75 = 1/2 x 3x x 2x
75 = 3x * x
75 = 3x^2
75/3 = x^2
25 = x ^2
√25 = x
5 = x
THEREFORE, x = 5
Substitute the value of x =5 in ratio of base to height
base = 3x
= 3 x 5
= 15
height = 2x
= 5 x 2
= 10
Therefore, the base is 15cm and height is 10cm of triangle
Similar questions