In triangle KPM, angle M is 90∘, MP = 10 cm, KM = 24 cm, KP = 26 cm. What is cosK?

Consider the KPM triangle, where:
MP – leg opposite to angle K, equal to 10 cm;
MK – leg adjacent to the corner K, equal to 24 cm;
KP – hypotenuse equal to 26 cm.
To find the cosine of the angle K, you need to find out the ratio of the opposite leg MP to the hypotenuse KP.
MP / KP = 10/26 = 5/13.
Answer: cosK 5/13.