In the ABK triangle, the angle K is a straight line, the angle B = 30 °. AK = 3.4 cm. What is the length of the hypotenuse?

In the ABK triangle, the angle K is a straight line, the angle B = 30 °. AK = 3.4 cm. What is the length of the hypotenuse? In triangle ABK, angle K is right. Angles A and B are both 7: 8. What are the degree measures of the angles A and B?

1. In a triangle, the AK leg lies opposite an angle of 30 degrees. Accordingly, it is equal to half the hypotenuse. So the hypotenuse is 3.4 × 2 = 6.8cm.
2. In a right-angled triangle, the sum of acute angles is 90 °, we will make ur-e.
7x + 8x = 90 °.
15x = 90 °.
x = 6.
Accordingly, angle A = 7 × 6 = 42 °, angle B = 8 × 6 = 48 °.