Question

find the length of the height of an equilateral triangle of side 24 cm take root 3 is equal to 1.73​

Answer 1

Answer:

The height of equilateral triangle can be calculated using the formula : √3a/4

Here, a = 24

height of equilateral triangle = √3 × 24/4

= 1.73 × 6

= 10.38

Answer 2

find the length of the height of an equilateral triangle of side 24 cm take root 3 is equal to 1.73

꧁Sᴏʟᴜᴛɪᴏɴ꧂

Formula,

Area of equilateral triangle= root 3/4 (side length)²

Side length is 24cm,

Now,

Area of equilateral triangle = root 3/4 (24)²

=root3/4 × 24 ×24

=144 root3 cm²

We Know,

Area of triangle = 1/2 × height × base

44 root3 =1/2 × height ×24

Hence,

Height= 12 root 3cm

= 12× 1.73cm

= 20.76cm

Therefore ur answer is 20.76 cm