The area of an equilateral triangle is 12√3 cm square. Find it's hieght
Answers
Answer:
height =6 cm
Step-by-step explanation:
formula of equilateral triangle is a²√3/4=12√3
a²=12×4√3/√3
a²=48
a=4√3
by Pythagoras property
h²=p²+b²
(4√3)²=p²+(2√3)² ( as we have to find height base is ÷by2)
48=p²+12
36=p²
p=6
Height =6 cm
Given : The area of an equilateral triangle is 12√3 cm square.
To Find : height
Solution:
Area of Equilateral Triangle = ( √3 / 4) Side²
( √3 / 4) Side² = 12√3
=> Side² = 48
=> side = 4√3 cm
Area of triangle = ( 1/2) * base * height
base = 4√3 cm
=> (1/2) 4√3 * height = 12√3
=> 2√3 * height =12√3
=> height = 6 cm
Learn More:
find the area of triangle having vertices at (8,1)
brainly.in/question/12350448
triangle whose area is 12 cm² is transformed under enlargement ...
brainly.in/question/19936791