Share
Two sides of a triangle can be represented by the expressions 3x+8 and 2×2-4x+5.If the perimeter of the triangle is 4×2+2x-10, what expressi
Question
Two sides of a triangle can be represented by the expressions 3x+8 and 2×2-4x+5.If the perimeter of the triangle is 4×2+2x-10, what expression can be used to represent the third side?
in progress
0
Mathematics
3 years
2021-08-23T20:40:25+00:00
2021-08-23T20:40:25+00:00 1 Answers
11 views
0
Answers ( )
Answer:
s = 2x²+3x-23
Step-by-step explanation:
Given that,
First side of a triangle = 3x+8
Second side of a triangle = 2x²-4x+5
The perimeter of the triangle = 4x²+2x-10
We need to find the expression for the third side. Let the third side b s.
Perimeter = Sum of all sides
4x²+2x-10 = 3x+8 + 2x²-4x+5 +s
4x²+2x-10 = 2x²-x+13+s
s = 4x²+2x-10- (2x²-x+13)
= 2x²+3x-23
So, the third side will be 2x²+3x-23.