Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 10

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NOTES: Isosceles Right Triangles
FROM STAAR
CHART
A diagonal of a square divides it into two congruent
_______________________ __________________
_________________. Since the base angles of an isosceles
triangle are ____________________, the measure of each
acute angle is _____°. So another name for an isosceles
right triangle is a 45°-45°-90° triangle.
A 45°-45°-90° triangle is one type of __________________ _______________
__________________.
Example 1A: Finding Side Lengths in a 45°- 45º- 90º Triangle
Find the value of x.
Example 1B:
Find the value of x.
Example 2:
Jana is cutting a square of material for a tablecloth. The table’s diagonal is 36 inches. She wants the diagonal of
the tablecloth to be an extra 10 inches so it will hang over the edges of the table. What size square should Jana
cut to make the tablecloth? Round to the nearest inch.

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