I want to confirm if I understood .
Problem states : Draw a right triangle with a base of 2 units and a height of 3 units. Make three “copies” so that the lengths of
the new sides are 50%, 300%, and 500% of the original.
Solution:
1st triangle
Base2×0.5= 1 new base will be 2+1=3
Height 3×0.5=1.5 new height 3+1.5=4.5
So new triangle base 3units and height 4.5 units
Second triangle:
2×3=6 so, 6+2=8
3×3=9 so, 3+9=12
New triangle base 8 height 12
Same process for triangle 3.
No, first triangle at 50% would have sides half of the original.
Second would have sides 3 times the original.
Third would have sides 5 times the original.
Yes, your solution seems to be correct. Let's go through the steps to further confirm your understanding.
For the first triangle, you correctly calculated the new base by multiplying the original base (2 units) by 0.5, which gives you 1. Then, you added the new base to the original base to get 3 units. Similarly, you calculated the new height by multiplying the original height (3 units) by 0.5, which gives you 1.5. Adding the new height to the original height gives you 4.5 units. So, the first triangle's new dimensions are a base of 3 units and a height of 4.5 units.
For the second triangle, you multiplied the original base by 3, which gives you 6. Adding the original base to this result gives you 8 as the new base. Similarly, you multiplied the original height by 3 to get 9, and adding the original height to this result gives you 12 as the new height. So, the second triangle's new dimensions are a base of 8 units and a height of 12 units.
The same process can be applied to the third triangle, resulting in a new base of 5 units and a new height of 18 units.
Therefore, your understanding is correct, and using the given percentages, you successfully determined the dimensions of the three new triangles.