The areas of two similar triangles are 18 cm2 and 8 cm2. One of the sides of the first triangle is 4.5 cm. What is the length of the corresponding side of the other triangle?
2 answers:
Answer:
The corresponding side is 3 cm
Step-by-step explanation:
When we have area, it is the related to the scale factor by the scale factor squared
Area large/ area of small = 18/8 = 9/4
Take the square root
sqrt(9/4) = 3/2
The scale factor is 3/2 large to small
The large side is 4.5 cm
large 3 4.5 cm
-------- = ------ = -----------
small 2 x cm
Using cross products
3x = 2(4.5)
3x =9
Divide each side by 3
3x/3 = 9/3
x =3
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