Question

find the ratio of the area of triangles abc and cea if the ratio of sides bc:ce is 1:4​

Answer 1

The ratio of the areas of the triangles is 1:4

Step-by-step explanation:

We know that for two similar triangles if the ratio of the area is square of the ratio of the sides

Given that

ratio of side BC and CE is 1:4

or, $\frac{BC}{CE}=\frac{1}{4}$

If the height of the triangle from A is h, then

Ratio of the areas of the triangles

$\frac{\text{ar}(\triangle ABC)}{\text{ar}(\triangle CEA)}=\frac{1/2\times h\times BC}{1/2\times h\times CE}[tex]</p><p>[tex]\implies \frac{\text{ar}(\triangle ABC)}{\text{ar}(\triangle CEA)}=\frac{BC}{CE}=\frac{1}{4}$

Therefore, the ratio of the areas of the triangles is 1:4

Hope this answer is helpful.

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Answer 2

Answer:

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Step-by-step explanation: