Question

9. The perimeter of an isosceles triangle is 50 cm. The base is 11 cm longer than one of the equal
sides. Find the sides of the triangle.​

Answer 1

To Find:-

• Find the sides of the triangle.​

Solution:-

Let length of each equal side = x

length of base = x + 11

Perimeter = 50cm  

x + x + x + 11 = 50  

3x + 11 = 50

3x = 50 - 11

x = 39/3

x = 13

So,

The base is x + 11 = 13 + 11

The base of triangle = 24

Answer 2

AnSwer -:


The two equal sides of triangle are

13 cm

And ,

Third side or base of triangle is 24 cm

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Explanation-:

Perimeter of an isosceles triangle-:

“P = a + a + b”

P = Perimeter

A = equal sides of triangle

B = third side of triangle

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Given,

Perimeter of triangle-: 50 cm

Third side is 11 cm longer than the other

side.

To find ,

Three sides of triangle.

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Let the two equal sides of triangle be a.

Now ,

The base of triangle is -: a + 11

Now ,

Perimeter of triangle-:

“P = a + a + b”

P = Perimeter = 50 cm

A = equal sides of triangle = a

B = base of triangle = a + 11

Now ,

a + a + a + 11 = 50

a + a + a = 50 - 11

a + a + a =39

3a = 39

a = 39 /3

a = 13

Now ,

The two equal sides of triangle are

-: a -: 13

Third side or base of triangle-: a + 11

13 + 11

= 24 cm

Hence ,

The two equal sides of triangle are

13 cm

And ,

Third side or base of triangle is 24 cm

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Let’s Explore.................

Isosceles triangle-: An isosceles triangle

is a triangle which has any two of its

sides equal to each other. Also, the

angles opposite these equal sides are

equal.

Equilateral triangle -: An equilateral

triangle is a triangle that has all its sides

equal in length.

Scalene triangle-: A Scalene Triangle is

a triangle that has all its sides of

different lengths.

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