In a right-angled triangle ABC (angle C = 90 degrees) angle A is 2 times greater than angle B.

In a right-angled triangle ABC (angle C = 90 degrees) angle A is 2 times greater than angle B. 1) Determine the acute angles of triangle ABC. 2) find the AC leg if the hypotenuse is 8.4 cm

1). Since the triangle is rectangular, the sum of the two acute angles is 90 °;

By condition <A = 2 <B;

So B = <90 °: 3 = 30 °;

<A = 90 ° – 30 ° = 60 °;

2). The AC leg lies opposite the angle B = 30 °, which means it is equal to half of the hypotenuse;

AC = 1/2 AB = 1/2 * 8.4 = 4.2 (cm).