Question

three sides of a triangle are a,3a , root 3a find the measurement of angle opposite to the largest side

Answer 1

The angle is measured tan30

Answer 2

Answer: The measurement of angle opposite to the largest side is 0.99°.  

Step-by-step explanation:

Since we have given that

Sides of a triangle are

a, 3a, $\sqrt{3a}$

We need to find the measurement of angle opposite to the largest side i..e 3a

So, By applying the "Law of cosines ":

$\cos B=\frac{a^2+\sqrt{3a}^2-(3a)^2}{2\tiems a\times \sqrt{3a}}\\\\\cos B=\frac{a^2+3a^2-9a^2}{2\sqrt{3}a^2}\\\\\cos B=\frac{-5}{2\sqrt{3}}\\\\B=0.99^\circ$

Hence, the measurement of angle opposite to the largest side is 0.99°.