Question

From any point in the interior of the triangle, lines are drawn parallel to the sides of it. it the areas of the three small triangles are 4,9,16square units,then find the area of the given of the given larger triangle

Answer 1

Answer:

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