Question 125
What will be the effect on the area of an isosceles triangle if all the sides are doubled in length ?
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.
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