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alex41 [277]
3 years ago
9

Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other. 9

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
As the triangles are similar so sides are proportional.
\frac{4}{3} = \frac{x}{6} 

x=6*(4/3)=8
so other side is 8
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Sedaia [141]

Answer:

first triangle (to left) b=8, second one c=17

Step-by-step explanation:

for the first triangle (one to the left) the hypotenuse is 9, so let's use the pythagorean formula.

A^2   +  B^2  = C^2

^              ^          ^

^              ^         Hypotenuse

^        second side

first side

Substitute:

5^2 + b^2 = 9^2

SImplify:

25+b^2 = 81

Reduce:

b^2 = 64

Simplify:

b=8

In the second triangle, we are given 2 sides.

Let's do the same thing we did in the first one.

Givens:

A = 8

B = 15

Find:

C

Substitute:

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Reduce:

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so we are left with this:

c=17

Phew, you did it!

Hope this helped :))

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