Please solve q 37?

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2 Answers
Feb 24, 2018

( A ) 1 : 1

Explanation:

\text{AEC Δ ≅ BCF Δ
( 6, 7, 8 cm ) RbRI)
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Feb 24, 2018

1:1

Explanation:

Here, we have:

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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.