SOLUTION: What are the dimensions of a right angle triangle that is similar to the 3 -4 -5
Right-angled triangle, and that has an area four times as large?
a.4-5-7 b. 4-12-13 c. 6-8-1
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Question 226386: What are the dimensions of a right angle triangle that is similar to the 3 -4 -5
Right-angled triangle, and that has an area four times as large?
a.4-5-7 b. 4-12-13 c. 6-8-10 d. 9-12-15 e. 12-16-20
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Area equals bh/2
If you double each dimension, you would probably get an area 4 times as large.
Try 6-8-10
base and height will be 3 and 4 in the original triangle to get an area of 12/2 = 6.
base and height will be 6 and 8 in the new triangle to get an area of 48/2 = 24
24/6 = 4 meaning the new triangle area is 4 times as large as the original triangle area.
Your answer should be C.
Your new triangle should also be proportionate to the original triangle.
6-8-10 is exactly double 3-4-5 in the same proportions.
Answer B would give you the same area, but the proportions would be off.
3-4-5 and 4-12-13 do not have the same porportions for all of the dimensions.
4/3 not equal to 2
12/4 not equal to 2
13/5 not equal to 2
Answer C keeps the proportions the same
6/3 = 2
8/4 = 2
10/5 = 2
Keeping the sides in porportions means the angles will stay the same meaning you have the same triangle only larger. The triangle would be similar.
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