172k views
0 votes
My last problem and i Can be done

My last problem and i Can be done-example-1
User Amid
by
7.6k points

2 Answers

2 votes
H/L = L/P
28/x = x/16 (cross multiply)
x^2 = 448
√448 = 21.166010…
So 21.2
Hope that is correct
User TreDubZedd
by
8.4k points
3 votes

Answer:

x = 21.1

y = 18.3

Explanation:

left triangle right triangle large triangle

Short leg: 12 altitude y

Long legs: altitude 16 x

Hypotenuse: y x 28

The three triangles are similar, so the ratios of the lengths of corresponding sides are equal.

hypotenuse/short leg

28/y = y/12

y² = 12 × 28

y² = 336

y = 18.3

hypotenuse/long leg

28/x = x/16

x² = 28 × 16

x² = 448

x = 21.1

User Myriah
by
8.7k points