The Perimeter of isosceles traingle is 43/4cm .if one of its equal sides is 17/6cm .find third side
Answers
GiveN :
- Perimeter of Triangle = 43/4 cm
- One of it's equal side is 17/6
To FinD :
- Third Side
Solution :
In an isosceles triangle two of it's sides are of equal magnitude, and one side is different. Formula for perimeter is sum of Sides,
Let, equal sides be x m and unequal side be y cm. So, x = 17/6 cm
⇒Perimeter = Sum of Sides
⇒Perimeter = x + x + y
⇒Perimeter = 2x + y
⇒43/4 = 2(17/6) + y
⇒43/4 = 17/3 + y
⇒y = 43/4 - 17/3
⇒y = (43*3 - 17*4)/12
⇒y = (129 - 68)/12
⇒y = 61/12
Another side of triangle is 61/12 cm
Answer:
The third side of triangle is 61/12
Step-by-step explanation:
According to the question in isosceles ∆ ABC the two sides are equal
Given, Perimeter of triangle= 43/4 cm
Two equal length sides of triangle = 17/6 cm
Let the third side of triangle be x
Perimeter = Sum of all the sides of triangle
43/4 cm= 17/6 cm +17/6 cm + x
43/4 cm = 34/6 cm + x
x = 43/4 cm - 34/6 cm
x = [ ( 43*3 - 34*2 ) ] /12
=> Third side is 61/12