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Chapter 10: Q.5 (page 539)

The perimeter of an isosceles triangle is 14 meters. The length of one side is 4 meters. The lengths of the other two sides are equal. Find the lengths of the other two sides.

Short Answer

Expert verified

The length of the other two sides are 5 meters each.

Step by step solution

01

Step 1. Given Information.

Perimeter of an isosceles triangle is 14 meters.

Length of one side is 4 meters.

Length of remaining two sides is same.

02

Step 2. Calculation.

Perimeter of the triangle is 14 meters.

Length of one side is given as 4 meters.

Let the length of one side of triangle be x.

Since two sides of the triangle are same,

x+x+4=14

Now add both x together.

2x+4=14

Subtract 4 from both the sides.

2x+4-4=14-4

This gives us,

2x=10

Now, divide both sides by 2.

2x2=102

This gives us,

x=5

This gives us the value of the unknown side which is 5 meters each.

03

Step 3. Conclusion.

The length of one side is 4 meters and the length of the other two sides are 5 meters each. Hence, the total perimeter of the isosceles triangle is 14 meters.

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