Each side of an equilateral triangle is 10 cm. Find (i) the area of the triangle and (ii) the height of the triangle .

Answer

`(i) 43.3 cm ^(2) `(ii) 8.66 cm `

Explanation

(i) Area of the triangle`=((sqrt(3))/(4)xxa^(2))=((1.732)/(2)xx10xx10) cm ^(2)=43.3 cm^(2)`.
`(ii) (1)/(2) xxaxx"height "=43.
3 cm ^(2)implies (1)/(2) xx10cm xxh = 43.3 cm^(2)implies h=(43.3 cm^(2))/(5 cm) = 8.66 cm.`