Question

Find the value of the variable x .if your answer is not an integer.

Answer 1

As it's Given one two angles of triangle is 60°

let other angle be d

2 × 60° + d = 180°

d = 180° - 120°

d = 60°

All angles of triangle are equal

I.e 60°

.°. Triangle is equilateral and all sides are also equal.

`\tt \: s = (a + b + c)/(2)`

So:-

`\tt \: s = (3 * 30)/(2)`

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`\tt \: s = (90)/(2)`

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`\tt \: s = 45`

Now Let's find Area:-

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`\tt area = √(s(s - a)(s - b)(s - c))`

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`\to \tt area = √(45(45 - 30)(45 - 30)(45 - 30)) \\`

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`\to \tt area = √(45 * 15 * 15 * 15) \\`

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`\to \tt area =15 √(9 * 5 * 15) \\`

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`\to \tt area =15 √(3 * 3 * 5 * 15) \\`

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`\to \tt area =15 * 3 √( 5 * 15) \\`

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`\to \tt area =15 * 3 * 5 √(3) \\`

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`\to \tt area =15 * 3 * 5 * 1.732`

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`\to \tt area =389.7`