Question

In triangleABC, angleb=90 . angleA = x angle c= 2x
AB= 12cm find BC​

Answer 1

Answer:

BC=6

Step-by-step explanation:

angle A=2angle B

AB=2 BC

Answer 2

The length of BC = 6.93 cm

Step-by-step explanation:

From triangle ABC

$x + 2x + 90 = 180$

$3x = 90$

$x = 30$

∠ A= 30°

∠ C = 2 x = 2 × 30 = 60°

Apply sine rule for the triangle

$\frac{AB}{\sin60} = \frac{BC}{\sin30}$

$\frac{12}{\sin60} = \frac{BC}{\sin30}$

$BC = \frac{12 sin30}{sin60}$

$BC =$ 6.93 cm

This is the length of BC.