Answer:
The area would increase 6 times
Explanation:
The area of the triangle can be calculated as follows:
area = \(\frac{1}{2} * base * height\)
Tripling the side lengths of a right triangle would mean that:
new base = 3 base
new height = 3 height
Substitute with the new values in the equation:
new area = \(\frac{1}{2} * 3 * base * 3 * height\)
new area = \(6 (\frac{1}{2} * base * height)\)
Comparing the new area with the original one, we can conclude that by tripling the side lengths of the right triangle, the area of the triangle will increase 6 times.
Hope this helps :)
