Question

find the height of an equilateral triangle having side 2a.​

Answer 1

Step-by-step explanation:

Let the equilateral triangle be ABC and seg AD be the height .

angle B= 60. .......... angle of an equilateral triangle

in ADB

Angle ABD +angle BAD+angle ADB=180.....( sum of all angle of triangle is 180)

60+angleBAD+90=180

angle BAD+150=180

angle BAD=180-150

angle BAD=30

ABD is a 30-60-90 triangle

by 30- 60-90 triangle theorem

AD=root 3 / 2 multiply AB

AD=root 3 /2 multiply 2a

AD=root 3a

......i hope it helps you