find the area of an equator triangle to perimeter is 180 cm
Answers
Answered by
1
Answer:
answer is 60 cm
Step-by-step explanation:
It is equator triangle so 180 /3 =60cm
Answered by
1
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
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