Question

the length of altitude of an equilateral triangle of side 8cm is?

Answer 1

Answer:

We know that in an equilateral triangle all sides are equal.

Side of a equilateral triangle= 8 cm

Area of the equilateral triangle= √3/4×a2

=(√3/4×8×8) sq.cm

=(64√3/4) sq.cm

=(64×1.73/4) sq.cm

=(16×1.73) sq.cm

=27.68 sq.cm

Now,

Height of the equilateral triangle =(√3/2×a) cm

=(√3/2×8) cm

=(4√3) cm

(4×1.73) cm

=6.92 cm

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Altitude of an equilateral triangle:

$h = \frac{1}{2} \times \sqrt{3 } \times a$

Given: a=8cm.

Altitude=1/2(√3)(8)=4√3cm..

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