Question

the base ( unequal side ) of an isosceles triangle is 4cm and its perimeter is 20cm. find its area.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :

• Area is 4√15 cm²

Given :

• The base (un equal side ) of an iscoscles triangle is 4cm
• Perimeter is 20cm

To find :

• Area

Solution :

• Let the sides of triangle be a and a&b
• b = 4cm

Given that,

• Perimeter = 20cm

》a + a + b = 20

》2a + 4 = 20

》2a = 20 - 4

》2a = 16cm

》a = 16/2

》a = 8cm

As we know that,

• Semi - Perimeter = Perimeter/2 = 20/2 = 10cm

And also, we know that,

• Area = √s(s - a) (s - b) (s - c)

where, s is 10cm and a is 8cm

》Area = √s(s - a) (s - b) (s - c)

》Area = √10(10 - 8) (10 - 4) (10 - 8 )

》Area = √10 × 2 × 6 × 2

》Area = √2 × 5 × 2 × 2 × 3 × 2

》Area = 4√15 cm²

Hence, Area is 4√15 cm²