432,009 views
28 votes
28 votes
Solve for variables and show work please

Solve for variables and show work please-example-1
User Andrew Theken
by
3.0k points

1 Answer

15 votes
15 votes

Answer: e = 20, k = 10, h = 25

Step-by-step explanation:

This is an equilateral triangle. It has 3 sides the same, and thus three angles the same. All the angles of a triangle add up to 180, so we can say that the angles of this equilateral triangle have the same value, 1/3 of 180 aka 60. Thus, we can say:

3e = 60 // we can simplify here

(1) e = 20

e + 4k = 60 // if e = 20, then...

20 + 4k = 60

4k = 40

(2) k = 10

k + 2h = 60 // if k = 10, then...

10 + 2h = 60

2h = 50

(3) h = 25

User Nosk
by
3.2k points