+0

# hALp

+2
104
3
+49

1Determine the value of a.

2

Find the length of the missing side of the trapezoid below.

Mar 27, 2021

#1
-3

1. By the sine law, a = 6.

2. By the Pythagorean Theorem, the missing side is 5*sqrt(3).

Mar 27, 2021
#2
+420
+2

1. It's hard to apply the sine rule here. Instead, notice that the length WY is $$4\sqrt2$$ , because triangle WXY is a 45-45-90 triangle, and notice that angle WYZ is a right triangle, so to find A, use the Pythagorean theorem:

$$9^2=(4\sqrt2)^2+a^2\\81=32+a^2\\49=a^2\\a=7$$

2. Let x be the missing side. Using the Pythagorean theorem,

$$7^2=(8-5)^2+x^2\\49=9+x^2\\40=x^2\\x=2\sqrt10$$

textot  Mar 27, 2021
edited by textot  Mar 27, 2021
#3
+336
0

Oh yeah that makes since.

wolfiechan  Mar 27, 2021