SOLUTION: If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the new area divided by the old area is (a) 2 (b) 3 (c) 4 (d) 5

Algebra ->  Algebra  -> Triangles -> SOLUTION: If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the new area divided by the old area is (a) 2 (b) 3 (c) 4 (d) 5       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 233616: If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the new area divided by the old area is
(a) 2 (b) 3 (c) 4 (d) 5 (e) more than 6

Answer by Theo(2967) About Me  (Show Source):
You can put this solution on YOUR website!
Answer is (c) = 4.

click HERE for a picture of the problem.

Basically, when you double the two sides with the angle in between them, then you double the altitude, and when you double the altitude, you quadruple the area because.

A = 1/2 * b * h where:

b is the base = one of the included sides, and:

h is the altitude.

b is doubled and h is doubled to get:

A = 1/2 * 2 * b * 2 * h = 1/2 * 4 * b * h