Question

What is the value of x? Enter your answer, as a decimal, in the box. cm

Answer 1

Answer:

50.6 cm

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the smaller triangle side over the larger triangle side.

x               46.2-14   (This is the length of the short side of the triangle)

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

72.6            46.2

Using cross products

46.2 *x = (46.2-14)  *72.6

46.2 *x = (32.2)  *72.6

46.2 *x = (32.2)  *72.6

46.2x =2337.72

Divide each side by 46.2

46.2/46.2 *x = 2337.72/46.2

x = 50.6