Question

solve for x. (image of two triangles: upper triangle lnm with side lm = 35 cm, side nm = x cm; lower triangle pqr with side pq = 28 cm, side qr = 20 cm)

Explanation:

Step1: Set up proportion

The triangles are similar, so $\frac{x}{28}=\frac{35}{20}$

Step2: Isolate x

$x =28\times\frac{35}{20}$

Step3: Calculate final value

$x = \frac{980}{20}=49$

Answer:

$49$ cm