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The height of an equilateral triangle is 15 cm. The area of the triangle is? |
50\(\sqrt {3}\) sq. cm 75\(\sqrt {3}\) sq. cm 70\(\sqrt {3}\) sq. cm 100\(\sqrt {3}\) sq. cm |
75\(\sqrt {3}\) sq. cm |
AD the height of triangle = \(\frac{\sqrt {3}}{2}\) × side ⇒ 15 =\(\frac{\sqrt {3}}{2}\) a ⇒ a = 10\(\sqrt {3}\) Area \(\frac{\sqrt {3}}{4}\) a2 = \(\frac{\sqrt {3}}{4} \times (10 \sqrt {3})^2\) = \(75 \sqrt {3}\) |
