Who is in your group?
Simplifying when a Radical is in the Denominator: You cannot leave a radical in the denominator of a fraction. You need to simplify or “rationalize” the expression. Simplify the following into its simplest rationalized form:
2 / √3
Simplify the following into its simplest rationalized form:
15 / √5
Sketch an isosceles right triangle. Keeping in mind the features of an isosceles triangle, fill in the remaining 2 missing angle measures.
What similarity theorem shows that all isosceles right triangles are similar?
Use the Pythagorean Theorem to fill in the missing side lengths of these 45-45-90 triangles. Leave answers in reduced radical form.
Based on the pattern in #2, how can you represent x in terms of a for the isosceles triangle pictured below? Use the Pythagorean theorem to help solve.
1. Using the pattern above, and without using the Pythagorean theorem, how would you find the missing side lengths of a triangle if the hypotenuse is 23√2? Explain your process and reasoning below in a sentence or two:
What answer did you get when you solved for the missing side lengths in question #8?
Using the pattern above, and without using the Pythagorean theorem, how would you find the missing side lengths of a triangle if the hypotenuse is 10? Explain your process and reasoning below in a sentence or two:
What answer did you get when you solved for the missing side lengths in question #10?