Question

Each side of an equilateral  is 8cm. The height of  is

(a) 4 cm (b) 8 cm (c) 16 cm (d) None​

Answer 1

$</p><p></p><p>\bold{\underline{\sf Given:}} </p><p>\\ </p><p>\sf \rightarrow Side \: of \: the \: equilateral \: triangle, \: s = 8 cm \\ \\</p><p></p><p>\bold{\underline{\sf To Find:}} </p><p>\\ </p><p>\sf \rightarrow Height \: of \: the \: equilateral \: triangle, \: h = ? </p><p></p><p>\\ \\</p><p></p><p>\bold{\underline{\sf Solution:}} </p><p>\\ </p><p>\sf \quad Height \: of \: eq. \Delta = \frac{\sqrt{3} side }{2} \\ </p><p>\sf Substitute \: the \: value \: of \: side, \: we \: get </p><p>\\ \\</p><p> \sf \rightarrow \quad h = \frac{\sqrt{3}}{\cancel{2}} \cdot \cancel{8} \\ \\</p><p> \sf \rightarrow \quad h = 4\sqrt{3} \: cm</p><p></p><p>\\ \\</p><p></p><p>\sf Option \: (D) \quad - None</p><p></p><p>$

Answer 2

${\huge {\underline {\mathfrak {\orange {Answer}}}}}$

Given :-

Height of equilateral triangle = 6cm

Find :-

The area of triangle = ?

Solution :-

As we know,

Area of equilateral triangle = $\frac {\sqrt {3}}{4}× {a}^{2}$

Now,

Putting values in formula

= $\frac {\sqrt {3}}{4}× {a}^{2}$

= $\frac {\sqrt {3}}{4}× {8}^{2}$

= $\frac {\sqrt {3}}{4}× 64$

= $\sqrt {3} × 14$

= 1.732 × 14

= 27.712

Option d) None

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