Question

Simple Question. Easy Points
Find x and y...

Answer 1

x = 4.267 and y = 9.067

Explanation:

The triangle on the left and the triangle on the bottom are similar triangles.

Therefore, the following equation of ratios is true:

y 8

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

17 15

resulting in 15y = 8(17). Then 8(17)/15 = 9.067.

Also:

x 9.067

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

8 17

resulting in 17x = 8(9.067) = 72.533

Then x = 72.533/17 / 17 = 4.267

In summary, x = 4.267 and y = 9.067.

Answer 2

From the information we have, we can prove that ΔBDA is similar to ΔCDB:

∠BDA≅∠CDB, ∠BAD≅∠CBD

=> ΔBDA ~ ΔCDB

=> BD/CD = AD/BD

=> 8/x = 15/8

=> x = (8 · 8)/15 ≈ 4.267

And we also have:

AD/BD = AB/BC

=> 15/8 = 17/y

=> y = (17 · 8)/15 ≈ 9.067

*I could be wrong though