Question

A triangle has an area of 30 cm2. The base and height are scaled by a factor of 3. What is the are of the resulting triangle.

(I got 90cm2 last time but it was counted wrong...)

Answer 1

the base and height scaled to some factor, simply means,
they're blown up by that much, or multiplied by that much,

in this case is 3, so.. the area would be 1/2 bh, now,
with 3b and 3h, what would it be?


`\bf \begin{cases} A=\cfrac{1}{2}bh \\\\ \textit{now, scaling`

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`\bf A=\cfrac{1}{2}bh\qquad \begin{cases} b=2\\ h=3 \end{cases}\implies A=\cfrac{1}{2}\cdot 2\cdot 3\to 3 \\\\\\ \textit{now, let us scale`