Asked by G
Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimeters?
does this mean that i just multiply the numbers of the sides by four?
does this mean that i just multiply the numbers of the sides by four?
Answers
Answered by
Reiny
areas of similar figures area proportional to the square of their sides
area1/area2 = side1^2/side2^1
1/4 = side1^2/side2^2
4side1^2 = side2^2
take √ of both sides
2side1 = side2
so if one side is 3, the side of the larger square must be 6
check:
area of smaller is 3x3 = 9
area of larger is 6x6 = 36, which is in the ratio of 9/16 = 1:4
area1/area2 = side1^2/side2^1
1/4 = side1^2/side2^2
4side1^2 = side2^2
take √ of both sides
2side1 = side2
so if one side is 3, the side of the larger square must be 6
check:
area of smaller is 3x3 = 9
area of larger is 6x6 = 36, which is in the ratio of 9/16 = 1:4
Answered by
Anonymous
12
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.