In a right-angled triangle MKC, it is known that angle M = 90 degrees, angle C = 60 degrees

In a right-angled triangle MKC, it is known that angle M = 90 degrees, angle C = 60 degrees, CM = 7 cm.Find the hypotenuse CK

Given:
Right angle triangle MKC
angle M = 90 degrees,
angle C = 60 degrees,
CM = 7 centimeters.
Find the length of the hypotenuse CK -?
Solution:
1) Consider a right-angled triangle MKC. We know that the sum of the degree measures of any triangle is 180 degrees. Consequently:
angle K = 180 – (angle M + angle C);
angle K = 180 – (90 + 60);
angle K = 180 – 150;
angle K = 30 degrees;
2) In a right-angled triangle opposite an angle of 30 degrees lies a leg, which is half the hypotenuse. Then MC = 1/2 * KC;
KC = 2 * MC;
KC = 2 * 7;
KC = 14 centimeters.
Answer: 14 centimeters.