The base and height of a triangle are in the ratio 4:5. If the area of triangle is 90sq.m find the measures of its base and height.
Answers
Answer:
Base and height of the triangle is 12 m and 15 m respectively.
Step-by-step explanation:
It is given that the base and height of a triangle are in the ratio 4:5,
Let the base of the triangle be 4a and height of the triangle be 5a,
From the properties of triangle we know that the area of triangle is half of the product of its base and height.
According to the question area of the triangle is 90 m^2.
Therefore,
= > 1 / 2 x 4a x 5a = 90
= > 2a x 5a = 90
= > 10a^2 = 90
= > a^2 = 9
= > a = 3
Hence,
Base of the triangle = 4a = 4( 3 ) = 12 m
Height of the triangle = 5a = 5( 3 ) = 15 m
The base and height of a triangle are in the ratio 4:5. If the area of triangle is 90sq.m find the measures of its base and height.
Step by step explanation :
Given that the base and height are in ratio 4 : 5.
Area of the triangle = 90 sq.m
To find : Base and Height = ?
Solution :
Let the base of the triangle be 4x and height of the triangle be 5x.
We know that,
Area of triangle is the half the product of base and height. i.e
Area = 1/2 × base × height
90 = 1/2 × (4x) × (5x)
180 = 20x^2
Dividing both the sides by 20, we get :
9 = x^2
Square rooting both sides,
We get ,
x = 3
Base = 4x = 4 × 3 = 12
Height = 5x = 5 × 3 = 15
Hence,