The base and geight of a triangle are in ratio 4:5.if the area of the triangle is 90 sq m , find the measures of its base and height ?
Answers
area of a triangle=1/2*b*h
90=1/2*4x*5x
90=2x*5x
90=10x^2
90/10=x^2
9=x^2
x=3
base=4x=4*3=12m
height=5x=5*3=15m
PLZ MARK AS BRAINLIEST
Given:
The base and height of a triangle are in the ratio 4:5. The area of the triangle is 90 cm².
To Find:
The measure of the base and height of the triangle.
Solution:
The given problem can be solved using the concepts of triangles.
1. The area of a triangle with base 'b' and height 'h' is calculated by using the formula,
=> Area of the triangle = (0.5)x(base)(height),
=> Area of the triangle = (0.5)x(b)x(h).
2. The ratio of the base and height is 4:5.
=> Let the base and height be 4s and 5s respectively.
=> Area of the triangle = 90 = (0.5)x(b)x(h),
=> 90 = (0.5)x(20s²),
=> 90 = 10s²,
=> s² = 9,
=> s = 3cm.
3. Therefore, the measure of the base and height is,
=> Base = 4s = 4 x 3 = 12cm.
=> height = 5s = 5 x 3 = 15cm.
Therefore, the values of the height and base are 15cm and 12cm respectively.