Question

Triangle and triangle are similar. What is the measure of side ?

Answer 1

When two triangles are similar, they're sides are in proportion.

In order to find the unknown side, we first have to find the ratio of the larger triangle to the smaller triangle.

We can use the sides TV and LN to make the proportion.

$\frac{LN}{TV}$ = $\frac{21}{6}$

The ratio between the two triangles is 21:6

Now we can solve for the unknown side.

$\frac{21}{6}$ = $\frac{LM}{8}$

Cross multiply:

8 * 21 = 6 * LM

168 = 6LM

Divide both sides by 6:

LM = 28

The unknown side's length is 28 centimeters

Good luck!

Answer 2

Answer:

28cm is the measurement

Step-by-step explanation:

The TU side is 1/4 longer than the TV side.

So if you apply this rule to the LMN triangle:

7x4=28cm.

Hope this helps ;-))