Question

prove if a triangle and a parallelogram are on 5he same base and between same parallels the area of 5he triangle is equal to half of the parallelogram​

Answer 1

Step-by-step explanation:

a r b. c

d e

(that's the diagram u need. join them)

given:- parallelgram abed and and ∆dce with the same base de and between two // line AC and de.

construction: d is produced to r such that drce is a parallelgram.

proof:- ar. of the parallelogram abed = ar of the parallelgram drce ---------1

( see theorem:- it says two parallelgram will be equal if they have same base and are between to parallel lines)

also, (ar. means area)

ar. of ∆dce= 1/2 of ar. of parallelogram drce ---- 2

( since diagonal bisects the parallelgram into two equal traingles.

then from 1 and 2 we have

ar. of ∆dce= 1/2 of ar. of parallelogram abed

hope this help