Find the Perimeter of a triangle whose sides are 4x +3y , y – x , 3x – 2y.
Answers
Answered by
1
Answer:
(x + 3y) + (2x + y) + (x – y) = x + 3y + 2x + y + x – y = (1 + 2 + 1)x + (3 + 1 + (-1))y = 4x + 3y ∴ Perimeter of the triangle = 4x + 3yRead more on Sarthaks.com - https://www.sarthaks.com/990168/find-the-perimeter-of-a-triangle-whose-sides-are-x-3y-2x-y-x-y?show=990178#a990178
Answered by
84
Given :
- First Side of Triangle = 4x + 3y
- Second Side of Triangle = y - x
- Third Side of Triangle = 3x - 2y
To Find :
- Perimeter of Triangle
Solution :
★ Perimeter = Sum of all Sides ★
⟶⠀P = (4x + 3y) + (y - x) + (3x - 2y)
⟶⠀P = 4x + 3y + y - x + 3x - 2y
⟶⠀P = 4x + 3x - x + 3y + y - 2y
⟶⠀P = 7x - x + 4y - 2y
⟶⠀P = 6x + 2y
So, Perimeter of Triangle is 6x + 2y
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More about Triangles :
- A triangle has four vertices
- A triangle has three edges
- A triangle has three sides
- A triangle has three angles
- The sum of angle of a triangle is equal to 180⁰
- Perimeter of triangle = Sum of all sides
- Area of triangle = 1/2 × base × height
- Area of triangle (heron's formula) = √s(s- a) (s - b) (s -c)
- Semi perimeter of triangle = a+b+c/2
- Triangle is closed and 2D shape
- Equilateral triangle, scalene triangle and isosceles triangle are different types of triangles according to their sides
- Acute triangle, right triangle and obtuse triangle are different types of triangles according to their angles
- A triangle is also a polygon
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