SOLUTION: The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height is 25 centimete

Algebra ->  Surface-area -> SOLUTION: The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height is 25 centimete      Log On


   

Question 980267: The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height is 25 centimeters and its base length is 16 centimeters. What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?


Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
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Area = b*h/2 = 15*20/2
Area = 150 sq cms
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The other triangle has nothing do to with it.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A, area
b, base
h, height
k, proportionality constant

A=kbh

An example given:
k%2A25%2A16=200
k=200%2F%2825%2A16%29
k=8%2F16
k=1%2F2

FORMULA:
highlight%28A=%281%2F2%29bh%29.

Next example asks for A when h=20 and b=15.