Answer:
Reason SAS postulate
Step-by-step explanation:
The two triangles must be congruent.
Reason: SAS postulate
Answer:
x = 3
Step-by-step explanation:
6x - 4 = 2x + 8
6x - 2x = 8 + 4
4x = 12
x = 12/4
x = 3
Answer:
Area = 27√3/4 square units
Step-by-step explanation:
Since the shape is an equilateral triangle, all the sides will be equal
Area of the triangle = 1/2 * base * height
Get the height
(3√3)² = h²+(3√3/2)²
27 = h² + (27/4)
h²= 27 - 27/4
h² = 27 - 6.75
h² = 20.25
h = √2025/100
h = 45/10
Area = 1/2 * 3√3 * 45/10
Area = 135√3/20
Area = 27√3/4 square units
It's not clear if this is a right triangle or not. I'm going to assume its any kind of triangle. The third side c is restricted such that...
a - b < c < a + b
4.8 - 0.23 < c < 4.8 + 0.23
4.57 < c < 5.03
If c was allowed to be any real number, then we'd have infinitely many solutions for c. However, we're told that c is a whole number. The only whole number between 4.57 and 5.03 is 5
So c = 5 is the only integer solution
Final Answer: 5