Answer:
Explanation:
You want to know the adjacent side of the designated angles in a right triangle with side lengths 1.2, 3.5, and 3.7 cm, and acute angles 19° and 71°.
Adjacent side
In a right triangle, the term "adjacent side" refers to the ray forming the acute angle that is not the hypotenuse (longest side).
a) 71°
The rays forming the 71° angle are shown as having lengths 1.2 cm and 3.7 cm. The "adjacent side" is the shorter of these, the one that is not the hypotenuse.
the side adjacent to the 71° angle is 1.2 cm
b) 19°
The rays forming the 19° angle are shown as having lengths 3.5 cm and 3.7 cm. The "adjacent side" is the shorter of these, the one that is not the hypotenuse.
the side adjacent to the 19° angle is 3.5 cm
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Additional comment
Each angle in the triangle is formed from two sides of the triangle. The third side is the "opposite" side. The side opposite 19° is 1.2 cm; the side opposite 71° is 3.5 cm; the side opposite 90° is 3.7 cm. As you can see, the order of side lengths (smallest to largest) is the same order (smallest to largest) as opposite angles.
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