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What will be the effect on the area of an isosceles triangle if all the sides are doubled in length ?
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What will be the effect on the area of an isosceles triangle if all the sides are doubled in length ?
1). Increase to four times the area of original triangle
2). Increase to two times the area of original triangle
3). Increased by 150%
4). Increased by 200%
2 answers
1 vote
Solution
If the sides are all doubled, the semi preimeter gets doubled.
Area = $ \sqrt {s(s-a)(s-b)(s-c)}$
New area = $ \sqrt {2s(2s-2a)(2s-2b)(2s-2c)}$
4 times the original area.
3 vote
Solution
If the sides are all doubled, the semi preimeter gets doubled.
Area = $ \sqrt {s(s-a)(s-b)(s-c)}$
New area = $ \sqrt {2s(2s-2a)(2s-2b)(2s-2c)}$
4 times the original area.