Question

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one third as long as each corresponding

Answer 1

Answer:

3 : 16

Step-by-step explanation:

Answer 2

Given : Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one third as long as each corresponding

To find : The Ratio of Area  of Smaller Triangles taken together to the Ratio of area of bigger Triangle

Solution:

Let say Area  of Bigger Triangle =  A

Ratio of Area of Similar triangle = ( Ratio of Sides)²

=> (  Area of one Smaller triangle / A)  = ( 1/3)²

=>  Area of one Smaller triangle = A/9

Area of 3 Such Smaller triangles taken together = 3 (A/9)

= A/3

Area  of Smaller Triangles taken together = A/3

Area ogf Bigger Triangle = A

Ratio  = 1/3

Area  of Smaller Triangles taken together to the Ratio of area of bigger Triangle  = 1/3

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