nd height of triangle are in the ratio 3:4. If it’s area is216 cm2 . Find its base and height.
Question
nd height of triangle are in the ratio 3:4. If it’s area is216 cm2 . Find its base and height.
Solution
The area of a triangle is given by the formula: Area = 1/2 * base * height
Given that the area is 216 cm^2, we can write the equation as follows:
216 = 1/2 * base * height
We also know that the base and height are in the ratio 3:4. This means that the base is 3x and the height is 4x for some value of x.
Substituting these values into the equation gives us:
216 = 1/2 * 3x * 4x 216 = 6x^2
Solving for x gives us:
x^2 = 216 / 6 x^2 = 36 x = sqrt(36) x = 6
Substituting x = 6 back into the expressions for the base and height gives us:
base = 3x = 36 = 18 cm height = 4x = 46 = 24 cm
So, the base of the triangle is 18 cm and the height is 24 cm.
Similar Questions
The height of a triangle is 5 units more than its base. The area of the triangle is 18 units less than the square of the base. Find the area of the triangle
A triangle has an area of 21.15 square inches and a height of 4.7 inches. What is the length of the base?
A triangle’s base is 5 cm more than its height of x cm. Find its height if the triangle’s area is 10 cm 2
Find the base length of a triangle that has an area of 5454 cm2 and height 33 cm more than its base length.
A triangle has a base of 24 inches and an area of 260 square inches. Which equation can be used to find h, the height of the triangle?ResponsesA 24h = 26024 h = 260B 12h = 26012 h = 260C 48h = 26048 h = 260D 260h = 12
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.