Question

an isoceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. find the area of the triangle.​

Answer 1

Answer:

Isosceles triangle

Solve for area

A≈40.25cm²

b Base

12

cm

P Perimeter

30

cm

Answer 2

Answer:

• ★ 9 √15 cm

step-by-step explanation:-

★ Given :

• an isoceles triangle has perimeter 30 cm

• and each of the equal sides is 12 cm

★ To find :

• the area of the triangle.

★ Solution :

➠ The Perimeter = 30 m

➠ a = b = 12 m ( isoceles triangle )

➠ c = 2

➠ P = a + b + c

➠ 30 = 12 + 12 + C

➠ 30 = 24 + C

➠ C = 30 - 24

➠ C = 6

➠ S = a + bc

➠ = 12 + 11 + 6

➠ = 36 / 2

➠ = 15 cm

➠ Area √ 5 - ( 5 - a ) ( 5 - b ) ( 5 - c )

➠ √ 15 ( 15 - 12 ) ( 15 - 12 ) ( 15 - 6 )

➠ √ 15 × 3 × 3 × 9

➠ √ 3 × 5 × 3 × 3 × 3 × 3

➠ 3 × 3 √ 3 × 5

➠ = 9 √ 15 cm

★ Final Answer :

Hence, the area of the triangle is equal to 9 √ 15 cm

★ Additional information :

• Use the Heron’s formula which is equal to

• ∆ = √ s ( s - a ) ( s - b ) ( s - c ) is the semi perimeter and a, b and c are the sides of the triangle.

• The trick is that remembering root over is easy but then you might forget what is inside the root over which you can remember like first all no side is subtracting from the semi perimeter.

• ( S - 0 ) then side has subtracted ( s - a )

• Followed by side b ( s - b ) then side c ( s - c )