Right Triangles and Trigonometry: Review of the Pythagorean Theorem

Warm-Up Icon Section Warm-Up

Think and Click Think & Click: Equivalent Exponential and Logarithmic Forms

Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

1. What is the sum of the measures of the three angles in any triangle?

180°
 

2. Can there be two right angles in a triangle?

No.  A right angle is 90°.  Two right angles would sum to 180°, which means that the third angle would make the sum MORE than 180°.
 

3. Can there be a right angle and an obtuse angle in a triangle?

No.  A right angle is 90° and an obtuse angle is greater than 90°.  The sum of these two angles is greater than 180°. 

4.  What does it mean for two angles to be complementary?

Their sum is 90°.
 

5.  In the following triangle, what side is opposite angle P and what sides are adjacent to angle P?

Triangle PQR
Triangle PQR

 

line segment QR is opposite angle P.
line segment PQ and line segment PR are adjacent to angle P.
 

6. Solve x2 + 36 = 100

x2  = 64
x = plus-or-minus the square root of 64 equals plus-or-minus 8