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Romashka [77]
3 years ago
14

The Third Side Is Called The base if an isosceles triangle has perimeter 345 cm and base length 85 cm what is the length of each

leg
Mathematics
2 answers:
maks197457 [2]3 years ago
6 0

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.

Strike441 [17]3 years ago
4 0

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

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