Answer:
The area would increase 6 times
Explanation:
The area of the triangle can be calculated as follows:
area = [tex] \frac{1}{2} * base * height [/tex]
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 = [tex] \frac{1}{2} * 3 * base * 3 * height [/tex]
new area = [tex] 6 (\frac{1}{2} * base * height) [/tex]
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 :)
