in two similar triangles if the length of one side of a triangle is 1.2 cm and corresponding side of another triangle is 1.4 cm what is the ratio of areas of the triangle
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Hey, there!!!
ANSWER:- 36/49
Step-by-step explanation:
Area of Similar Triangles Theorem
Theorem: If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
Thus,
Ratio of corresponding sides = 1.2/1.4
= 0.6/0.7
multiplying 10 in both numerator and denominator , we get
Ratio = 6/7
Therefore, according to the theorem
The ratio of areas A1 and A2
=6^2/7^2
=36/49
Hope this helps.
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