Question

if the area of an equilateral triangle is 25root3 m , find its parimeter and altitude correct to three significant figures.​

Answer 1

Answer:

30m and 8.66m

Step-by-step explanation:

area of an equilateral triangle =√3/4xside²

here,

____________

side=. / 25√3 X 4

√ √3

=√25x4(√3 will cancel out with denominator)

=√100

=10m²

Perimeter of the triangle,

=side x 3

=10×3

=30m²

In that figure,

AOB or AOC = hy²=p²+b²

=10²=p²+5²

=p =√10²-5²

=p=√100-25

=p=√75

=p=8.66

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Answer 2

Answer:

side=10m&altitude=5√3m

Step-by-step explanation:

area of equilateral triangle = √3/4*side^2

25√3=√3/4side^2

side^2=100

side=√100

side=10m

perimeter=30m

ar∆=1/2*side*altitude

25√3=1/2*10*altitude

altitude=5√3m