Answer:
x = 50.60 cm
Step-by-step explanation:
Given triangles ΔMAB and ΔMNP are smilar accordingly their corresponding sides are proportional.
But first we will determine the size of the side MA:
MA = MN - AN = 46.2 - 14 = 32.2 cm
Now we will make proportion:
MN : MA = MP : MB => 46.2 : 32.2 = 72.6 : x
When we multiply external and internal members we get:
46.2 x = 72.6 · 32.2 => x = 72.6 · 32.2 / 46.2 = 2337.72 / 46.2 = 50.60 cm
x = 50.60 cm
God with you!!!
