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3 years ago

NEED HELP ASAP 70 POINTS

Mathematics

2 answers:

Viefleur [7K]3 years ago

8 0

Answer:

x = 24 inches

Step-by-step explanation:

We can use similar triangles to solve this problem. Put the same side of the small triangle over the same side of the large triangle

5 in 8 in

--------- = ------------

15 in x in

Using cross products

5x = 8*15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x = 24 inches

Vera_Pavlovna [14]3 years ago

7 0

Look at the picture.

We have the similar triangles (AAA). Therefore the lengths of the sides are in proportion:

$\dfrac{x}{8}=\dfrac{15}{5}$

$\dfrac{x}{8}=3$ <em>multiply both sides by 8</em>

$\boxed{x=24\ in}$

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