Find the area of shaded portion.

Mathematics

1 answer:

pickupchik [31]2 years ago

4 0

Answer:89.12 cm ^2

Kept trying to put picture here website wouldn't do it

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Am I correct ??? I don’t really know

Setler [38]

What you have here is a situation with two <em>similar triangles. </em>The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: <em>the ratios of their corresponding sides are equivalent</em>. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have

$\frac{64}{x}= \frac{x}{36}$

Multiplying both sides of the equation by 36 and x, we get

$64\cdot36=x^2$

finally, we take the square root of both sides of the equation to find x:

$\sqrt{64\cdot36}=x\\
\sqrt{64}\sqrt{36}=x\\
8\cdot6=x\\
48=x$