Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Using ΔAHC , then
∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x
∠ECD = ∠ACB ( vertical angles are congruent ), thus
∠ECD = ∠ACH + ∠HCB, that is
3x = 80 - 2x + x
3x = 80 - x ( add x to both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Answer:
22°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + x + 136° = 180°
2x + 136° = 180° ( subtract 136° from both sides )
2x = 44° ( divide both sides by 2 )
x = 22°
14+2x=4x: divide 2x on each side
14=2x: divide by 2
7=x
7
Answer:
Proved
Step-by-step explanation:
I am going to pose c as the largest side in a random triangle
If so then remember that, by the triangle inequality, a + b > c. Let's start from there...
Statement: | Reasoning:
1. a + b > c 1. Triangle Inequality
2. a + b + c > c + c (adding c on both sides), 2. Algebra + Def. Of Perimeter
a + b + c > 2c (simplified)
Perimeter > 2c (definition of perimeter)
c < 1/2 * Perimeter
