Respuesta :
Answer:
Length of each leg = 130 cm.
Step-by-step explanation:
Given that there is an isosceles triangle which has perimeter 345 cm.
Base length =85 cm.
Since other two sides are equal, let the equal size = x
Perimeter = sum of all 3 sides of a triangle
= 85+x+x = 85+2x
But perimeter = 345 (given)
So equate x term perimeter with actual
85+2x = 345
Subtract 85
2x = 260
Divide by 2
x =130 cm.
Hence answer is 130 cm.
Answer:
The length of each leg of the isosceles triangle is 130 cm.
Step-by-step explanation:
Base of the isosceles triangle: B=85 cm
Length of each leg: L=?
Perimeter: P=345 cm
P=B+L+L
P=B+2L
Replacing P by 345 cm and B by 85 cm in the equation above:
345 cm = 85 cm + 2L
Solving for L: Subtracting 85 cm both sides in the equation above:
345 cm - 85 cm = 85 cm +2L - 85 cm
260 cm = 2L
Dividing by 2 both sides in the equation above:
260 cm / 2 = 2L/2
130 cm = L
L = 130 cm
