Question

In the figure P is the mid point of BC , D is the mid point of AP.

a) If the area of the coloured part is 10 sq.cm then what is the area of triangle AP C.
b) What is the area of triangle AP B?
c) What is the area of triangle ABC?​

Answer 1

Given :   P is the mid point of BC , D is the mid point of AP.

area of the coloured part is 10 sq.cm

To Find: area of triangle APC

area of triangle APB

area of triangle ABC

Solution:

P is the mid point of BC

Hence Area of ΔABP = area of Δ APC  = (1/2) Area of ΔABC

D is the mid point of AP.

=> Area of ΔADC = area of Δ PDC = (1/2) Area of ΔAPC

Area of ΔADC = 10 cm²

=> 10 = (1/2) Area of ΔAPC

=> Area of ΔAPC = 20   cm²

Area of ΔABP = area of Δ APC = 20   cm²

area of Δ APC  = (1/2) Area of ΔABC

=> 20 = (1/2) Area of ΔABC

=> Area of ΔABC = 40 cm²

Learn More:

Ratio of area of 2 similar triangles are 2:3. Area of the larger triangle is

brainly.in/question/7877543

if triangle abc- triangle def area of triangle abc is 64 square ...

brainly.in/question/14594418

Three triangles are marked out of a bigger triangle at the three ...

brainly.in/question/8018381