Homework Help: MATH

Posted by RIYA on Sunday, October 23, 2011 at 7:24am.

THE BASE AND HEIGHT OF A TRIANGLE ARE IN THE RATIO 5:3. IF THE AREA OF THE TRIANGLE IS 67.5 SQUARE METRE; FIND ITS BASE AND HEIGHT.

MATH - Reiny, Sunday, October 23, 2011 at 9:18am
let the base be 5x and the height 3x ,
area of triangle = (1/2)base x height
(1/2)(5x)(3x) = 67.5
35x^2 = 135
x^2 = 9
x = √9 = 3

so base is 5x = 15
height is 3x = 9

check:
15 : 9 = 5 : 3
(1/2)(15)(9) = 67.5

Answer this Question

Related Questions

Algebra - How do you find the area of a shaded area in a triangle and assume the...
MATH - The base and height of a triangle are in the ratio 5:3.if the area of the...
Math - The altitude of a triangle is increasing at a rate of 2500 centimeters/...
math - i have trouble finding the answer to this and how to srt. there is a ...
math - The base of a triangle is 5cm greater than the height. The area is 18cm^2...
geometry - If the height of a triangle is one inch more than twice its base, and...
geometry - the area of a triangle is 338 square yards. the height of the ...
Math - The area A of a triangle is given by the formula A=1/2bh If the base of ...
Math - The area A of a triangle is given by the formula A=1/2bh If the base of ...
CAL - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

For Further Reading

First Name:
School Subject:
Answer: