Question

for the given figure BC=20cm and angle A=30 degree then AB= AND AC=​

Answer 1

Answer:

Step-by-step explanation:

In ABC

∠A = 30°

∴ TAN 30 =  $\frac{BC}{AB}$

$\frac{1}{\sqrt{3} }$   = 20 /AB

∴ AB= 20$\sqrt{3}$

SIMILARLY

SIN 30  = BC / AC

1/2 = 20 / AC

∴AC = 20 * 2 = 40

Answer 2

Area of Triangle is 100 $cm^2$

Step-by-step explanation:

Refer the figure attached for easy understanding-  

AB (Let a) = 20 cm and AC(Let b) = 20 cm

and $\angle$BAC = 30°    

we know that,

• Area of Triangle is given by the formula:

• Area of Triangle = $\frac {1}{2} \times a \times b \times sin30$

So, Area = $\frac {1}{2} \times (20 \times 20 \times sin30)$

= 200sin30 °

= $200 \times \frac {1}{2}$ (As we know sin30° = $\frac {1}{2}$ = 0.5)

= 200 $\times$ 0.5  

= 100 $cm^2$ is the Area