Question

Which triangle below has the greatest area?

A Triangle
B Triangle ll
C Triangle Ill
D They all have the same area,

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}☂`

As we know,

Area of a triangle = 1/2 × base × height. and we can observe in the figure that each of the Triangles has same base as well as Height, therefore they have same area as well.

So, correct choice is D. They all have the same area

`➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖`

Answer 2

D They all have the same area

Explanation:

`\sf Area \ of \ a \ triangle = \frac12 * base * height`

As all three triangles have the same base length (4 units) and same height (7 units), they all have the same area.

Proof:

Triangle I

`\sf Area = \frac12 * 4* 7=14 \ units^2`

Triangle II

`\sf Area = \frac12 * 4* 7=14 \ units^2`

Triangle III

`\sf Area = \frac12 * 4* 7=14 \ units^2`