If each side of a triangle is doubled, then the area of the new triangle becomes how many times the original area?

Answer as guest — Start Free Practice Test to earn Practice PointsHow to earn pointsAsk a question+3Answer a question+1Someone answers yours+1Your Q gets upvoted+1Pioneer bonus (first 5)+5, ask questions & climb the leaderboard!

A 2 times
B 3 times
C 4 times
D 6 times

Show answer and explanation

Answer: C. 4 times

If the sides a, b, c are doubled to 2a, 2b, 2c, the semi-perimeter becomes 2s.
New area = √(2s × 2(s - a) × 2(s - b) × 2(s - c)) = √(16 × s(s - a)(s - b)(s - c)) = 4 × original area.

Answering after opening this box earns no Practice Points.

1 answered 0% got it right

Rules for asking and answering

If each side of a triangle is doubled, then the area of the new triangle becomes how many times the original area?

More questions like this