Question

find the area of an equator triangle to perimeter is 180 cm​

Answer 1

Answer:

answer is 60 cm

Step-by-step explanation:

It is equator triangle so 180 /3 =60cm

Answer 2

Answer:

A,B,C be the vertices and a,b,c be the sides of the triangle

P= a+b+c = 180cm

A= ½ × base × height

(given triangle is equilateral

so sides are equal)

a=b=c

3a = 180

a = 60 (=base)

A = ½ × 60 × h

To find height :

Draw a perpendicular bisector from A to midpoint of BC at D

Now in right angled triangle ABC

AC² = AD² + DC². (using pythogoras theorum)

60² = height² + 30². ( since BC = 60 , DC = ½BC = 30)

h² = 2700

h= 52

Area = ½(52 × 60)

A = 1600 cm²