Calculate the area and height of equilateral triangle whose perimeter is 60 cm
Answers
Answer:
Area=100√3 cm^2
Height = 10√3 cm
Step-by-step explanation:
Equilateral Triangle has all its sides equal. So, Let the side be x.
3x=60
x=20 cm
1. Area of triangle
Semi-perimeter (s)=60/2=30
√s(s-a)(s-b)(s-c)
(a, b, c are three sides of a triangle)
=√30(30-20)(30-20)(30-20)
=√30*10*10*10
=100√3 cm^2
2. Height
Answer:
Area=100√3 cm^2
Height = 10√3 cm
Step-by-step explanation:
Equilateral Triangle has all its sides equal. So, Let the side be x.
3x=60
x=20 cm
1. Area of triangle
Semi-perimeter (s)=60/2=30
√s(s-a)(s-b)(s-c)
(a, b, c are three sides of a triangle)
=√30(30-20)(30-20)(30-20)
=√30*10*10*10
=100√3 cm^2
2. Height
........................./|\
........ 20cm / | \ 20cm
....................../ | \
..................../__|___\
10 10
Acc. To Pythagoras Theorem,
10^2 + P^2 = 20^2
P=10√3 cm
Height of the Triangle = 10√3 cm
Answer:
Each side of triangle is 60/3 = 20 cm
Hence area of equilateral triangle is given by
A= √3/4 × 20²
= 100√3
= 173.2 sq.cm
The height of the triangle is given by
1/2 × 20 × h = 173.2
h= 17.32 cm