Math, asked by prathamjaiswal68, 2 months ago

find the area of isosceles triangle whose equal side are 6cm,6cm,and 8 cm

Answers

Answered by shahnazpraveen
1

Answer:

just sum the number 6+6+8 = 20

answer 20

Step-by-step explanation:

I hope it helps you

Answered by Anonymous
7

Given :

Isosceles triangle whose equal side are 6cm,6cm,and 8 cm.

To Find :

The area.

Solution :

Analysis :

First we have to find the perimeter and then the semiperimeter. After that using Heron's Formula, we can get the area.

Required Formula :

  • Heron's Formula = [s(s - a)(s - b)(s - c)]

where,

  • s = Semiperimeter
  • a = First Side
  • b = Second Side
  • c = Third Side

Explanation :

We are given all the three sides of a triangle. So,

Perimeter = Sum of all three sides

⇒ Perimeter = 6 + 6 + 8

⇒ Perimeter = 20

Perimeter = 20 cm.

Semiperimeter :

Semiperimeter = Perimeter/2

⇒ Semiperimeter = 20/2

⇒ Semiperimeter = 10

Semiperimeter = 10 cm.

Area :

Using Heron's Formula,

Heron's Formula = √[s(s - a)(s - b)(s - c)]

where,

  • s = 10 cm
  • a = 6 cm
  • b = 6 cm
  • c = 8 cm

Substituting the values,

⇒ Area = √[s(s - a)(s - b)(s - c)]

⇒ Area = √[10(10 - 6)(10 - 6)(10 - 8)]

⇒ Area = √[10(4)(4)(2)]

⇒ Area = √[10 × 4 × 4 × 2]

⇒ Area = √[10 × 4 × 4 × 2]

⇒ Area = √[5 × 2 × 2 × 2 × 2 × 2 × 2]

⇒ Area = 8√5

Area = 85 cm².

Area of the triangle is 85 cm².

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