Solving Legs in Right Triangles

To which shape(s) does the Pythagorean theorem apply?

• All triangles

• Right triangles only

• Some right triangles and some isosceles triangles 

• Right triangles and circles.

The legs form what type of angle?

• Acute

• Obtuse

• Reflex

• Right

The Pythagorean theorem states that:

• The two smaller sides of a right triangle sum to equal the longest side.

• The squares of the two smaller sides of a right triangle sum to equal the square of the longest side.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2

• Take the square root of both sides

Solve the right triangle. Round all answers to the nearest whole number.

• 18

• 13

• 72

Find the missing side length. Round to the nearest tenth.

type in just the number

Mathematical Equivalence

ON

1. Right triangle ABC is shown. 

Select all expressions which are equal to the length of side BC .

Solve the right triangle. Round all answers to the nearest whole number.

• 72

• 18

• 13

• 27/36
• 27/45
• 45/36
• 45/27

Set up the problem...

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41