Question

Please solve q 37?

Answer 1

( A ) 1 : 1

Explanation:

`\text{AEC Δ ≅ BCF Δ`
`( 6, 7, 8 cm )` RbRI)

Answer 2

`1:1`

Explanation:

Here, we have:

Note that adding up the variables and the algebraic expression still gives you the correct length.

Now, notice that both triangles `ACE` and `BFC` both have the sides `6-7-8`

Using our SSS theorem, we know that these two triangles are congruent!

Because of this, both triangles both have the same area.

Now, we are looking for the areas of `ABDE` and `CDF`.

We see that those two polygons are the result from separating the triangle `BDC` from the congruent triangles `BFC` and `ACE`.

Now, let's use our logic.

If we have two polygons with the same area, and we are taking away the same area from them, the leftover must be the same.

Therefore, the ratio is `1:1`.