CPM Homework Help : PC Problem 1-74

1-74.

Solve $ΔPQR$ at right.

Right triangle, P Q R, labeled as follows: leg, Q R, 8 cm, hypotenuse, P R, 16 cm.

Hint 1:

First label the triangle with lower case letters for the sides.

Answer 1:

Labels added to sides as follows: Leg, P Q, labeled, r, Leg, Q R, labeled, p, hypotenuse, P R, labeled q.

Hint 2:

What does it mean to solve a triangle?

Hint 3:

Make a chart. Fill in with known information. Then find the unknown values.

Answer 2:

Find the lengths of all $3$ sides and the $3$ angle measurements.

Answer 3:

Hint: 4

How could you find Angle P?

Hint 5:

Once you have two angles in the right triangle, how do you find the 3rd angle?

Hint 6:

In a right triangle, what famous theorem helps in finding a third side if two sides are already known?

Answer 4:

Use the Sine function or the Law of Sines.

Answer 5:

$180°$ (the sum of the first two angles)

Answer 6:

Pythagorean Theorem
$a² + b² = c²$