contestada

Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other.
9
7
8
6.6

Respuesta :

prestonshelton
Hello!

You have to find out happened between triangles

6 / 3 = 2
10 / 5 = 2

They multiplied the first triangle by 2 to get the second

Apply this to find the missing side

4 * 2 = 8

The answer is 8

Hope this helps!

Answer:

The correct option is:  8

Step-by-step explanation:

Suppose, the missing side length in second triangle is [tex]x[/tex]

So, the side lengths of first triangle:  [tex]3, 4, 5[/tex]

and the side lengths of second triangle:  [tex]6, x, 10[/tex]

As two triangles are similar, that means their corresponding side lengths will be proportional.

So,

[tex]\frac{3}{6}=\frac{4}{x}\\ \\ 3x= 4*6\\ \\ 3x= 24\\ \\ x=\frac{24}{3}=8[/tex]

So, the missing side length in second triangle is 8.

Otras preguntas