Question

Derivation for area of triangle=1/2(base×height)

Answer 1

It is the proof for your question

Answer 2

Answer:

Step-by-step explanation:

Consider a rectangle ABCD ,It is divided into two congruent parts and that parts are triangles.

In the Rectangle, Length of AB=CD = a

Length of BC = DA = b

Now Area of Rectangle ABCD = AREA OF ABD + AREA OF CBD

AS BOTH TRIANGLES ARE CONGRUENT, THEIR AREAS ARE EQUAL .

Now, Area of Rectangle ABCD = 2( Area of triangle ABD)

We know that Area of rectangle = lb = a×b = ab .

Now From the relationship,

Area of triangle = ab/2 = 1/2 * base * height.

Hence proved!