Answer:
see below
Explanation:
A
The hypotenuse is ALWAYS the longest side of a right triangle, and located Directly Across from the Right Angle: c = √79
Pythagorean Theorem: a² + b² = c²
a = 2√5
b = ?
c = √79
(2√5)² + b² = (√79)²
20 + b² = 79
b² = 59
√b² = √59
b = √59 = KJ
B
tan=opposite side / adjacent side
From I, KJ is opposite; and IK is adjacent
tan(I) = √59/(2√5) ≈ 1.72
C
cos=adjacent side / hypotenuse
From J, KJ is adjacent; and IJ is the hypotenuse
cos(J) = √59/√79 ≈ 0.86