Rectangular rectangle Angle B = 60g Angle A = 90g Angle C = 30g AB-smaller leg Sum of smaller

Rectangular rectangle Angle B = 60g Angle A = 90g Angle C = 30g AB-smaller leg Sum of smaller leg and hypotenuse = 26.4. How to find the hypotenuse?

Given:
right-angled triangle ABC,
Angle B = 60 degrees,
Angle A = 90 degrees,
Angle C = 30 degrees,
AB – smaller leg,
AB + BC = 26.4.
Find the length of the hypotenuse BC -?
Solution:
1) Consider a right-angled triangle ABC. In a right-angled triangle opposite an angle of 30 degrees lies a leg, which is half the hypotenuse. Then AB = 1/2 * BC;
2) Since AB + BC = 26.4, then
1/2 * BC + BC = 26.4;
BC * (1/2 + 1) = 26.4;
BC * 1.5 = 26.4;
BC = 26.4: 1.5;
BC = 17.6.
Answer: 17.6.