Question

The height of an equilateral triangle of side 5 cm is options a) 4.33 b)3.9 c)5 d)4 pls give it fast dont spam​

Answer 1

Side of an equilateral triangle is given as 5cm
The height of this triangle can be found using Pythagoras theorem which states that sum of square of two sides is equal to square of third side.
Let ABC be a triangle and AD cuts BC in half at right angle. So that triangle ADB be a right angled triangle.
Applying Pythagoras theorem,
(AD)^2 + (DB)^2 = (AB)^2
(AD)^2 = (5)^2 - (5/2)^2
(AD)^2 = 25 - 25/4 = (100-25)/4 = 75/4
AD = under root 75/4 = 4.33
Hence, a option is your answer