Question

from any point in the interior of a triangle lines are drawn parallel to the sides of it if the areas of the three small Triangles are 4 9 16 square units then find the area of given large Triangle

Answer 1

Area of Δ ABC = 81 sq units

Step-by-step explanation:

All these triangle formed will be similar as each triangle is similar

to Δ ABC

Area of triangle are 4 , 9 , 16

So sides of these small triangle will be in the ratio of

2 : 3

2 : 4

3 : 4

2 + 3 = 5

2 + 4 = 6

3 + 4 = 7

5² - (4 + 9 ) = 12

6² - (4 + 16)  = 16

7² - (9 + 16) = 24

Area of Δ ABC = 12 + 16 + 24  + 4 + 9 + 16

= 81

Area of Δ ABC = 81 sq units

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