Question

in the adjoining figure angle abc is right angled at B and A = 30 degree if BC = 6 cm find first a b and second AC​

Answer 1

Step-by-step explanation:

by trigonometric ratios we can find the sides of this triangle

Answer 2

Given :  ABC is right angled at B and A = 30 degree , BC = 6

To find : AB and AC

Explanation:

from the figure

using the trigonometric ratios

$\tan 30^\circ = \frac{P}{B }= \frac{BC}{AB}\\\\\frac{1}{\sqrt{3}}=\frac{6}{AB}\\\\AB = 6\sqrt{3}\\\\\sin 30^\circ = \frac{P}{H}= \frac{BC}{AC}\\\\\frac{1}{2}= \frac{6}{AC}\\\\AC = 12 cm$

hence ,The value of AC = 12 cm and AB is 6√3 cm

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