Question

PLEASE HELP ME

Two triangles have equal area. Which of the following scenarios could be true of the two triangles? Select all that apply.


The triangles have equal base lengths and equal heights.
The triangles have equal heights and different base lengths.
The triangles are congruent.
The triangles are similar.
The triangles have equal base lengths and different heights.

Answer 1

=>The triangles have equal base lengths and equal heights...
=>The triangles are congruent....
=>The triangles are similar....

Hope it helps !!!

Answer 2

Option 1 and Option 3 are true.

Explanation:

Given: Two triangles have equal area.

Area of triangle is depend on base and height because area of triangle is half base and height.

`\text{Area of triangle}=(1)/(2)*\text{Base}*\text{Height}`

If two triangle has same base and height their area must be same.

Option 1 is true. The triangles have equal base lengths and equal heights.

If two triangles are congruent then their base and height equal by CPCTE property of concurrency. Base and height of congruent triangle are equal.

Option 3 is true. The triangles are congruent.