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

Question

asked Jun 20, 2023 13.0k views

1 Answer

Eka · Answer 1 · 2023-06-26T08:52:13+0000

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:-

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

$\\ \\$

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

$\\ \\$

$\tt \: s = 45$

Now Let's find Area:-

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

$\to \tt area =15 √(9 * 5 * 15) \\$

$\\ \\$

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

$\\ \\$

$\to \tt area =15 * 3 √( 5 * 15) \\$

$\\ \\$

$\to \tt area =15 * 3 * 5 √(3) \\$

$\\ \\$

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

$\\ \\$

$\to \tt area =389.7$