Question

The perimeter of an isosceles triangle is 30 cm. If its base is 10 cm,Find the length of each ​

Answer 1

Step-by-step explanation:

Answer

Let the congruent sides of an isosceles △ be x.

Let the base of the isosceles △ be y

According to the 1st condition,

x+x+y=30

2x+y=30

According to the 2nd condition

x=y+3

x−y=3

Solving equation (1) and (2)

2x+y=30

x−y=3

-------------------

3x=33

x=

3

33

x=11

By substituting x=11 in equation (1)

2x+y=30

2(11)+y=30

22+y=30

y=30−22

=8

∴ The length of the sides of a △ are 11cm,11cm and 8cm.

Answer 2

Answer:

let other two equal sides be x

perimeter = sum of all the sides

30 = x+x+10

30. = 2x+10

20. = 2x

10. = x

so this is an isoceless + equilateral triangle .

with all the sides equal to 10