What is the numerical ratio of the side lengths in a right triangle with acute angles that measure 30o and 60o? Explain.ġ3 2. Determine all three angle measures in ΔABC.ġ2 Reflections 1. ΔABD is an equilateral triangle and BC is a perpendicular from B to AD.
#13.3 special right triangles answers how to
Explain how to find the length of CD.ĩ Explore 2 : Investigating another special right triangleĭiscover relationships that always apply in a right triangle formed as half of an equilateral triangle.ġ0 ΔABD is an equilateral triangle and BC is a perpendicular from B to AD Suppose you draw the perpendicular from C to AB. Is it true that if you know one side length of an isosceles right triangle, then you know all the side lengths? Explain. m/ A = m /BĦ Use the Pythagorean Theorem to find the length of the hypotenuse in terms of the length of each leg, x.ħ answer AB2 = x2 + x2 AB2 = 2x2 AB = x√2Ĩ Reflections 1. Base angles are / A and /B m/ A + m /B = 90o B. What must the measures of the base angles be? Why?ĥ answers A. Use the Isosceles Triangle Theorem to write a different equation relating the base angle measures. Identify the base angles, and use the fact that they are complementary to write an equation relating their measures. Draw an isosceles right triangle ABC with legs measures x and right angle at C. If two sides of a triangle are congruent, then the angles opposite the sides are congruent.Ĥ Explore 1 Investigating an isosceles Right Triangleĭiscover relationships that always apply in an isosceles right triangle. Two angles whose measures have a sum of 90o. What do you mean by complementary angles? What is an Isosceles Triangle Theorem What is the Pythagorean Theorem?ģ answers An isosceles triangle has at least 2 congruent sides. Presentation on theme: "13.3 Special Right Triangles p 709"- Presentation transcript:ĬCSS – SRT 8.1 Derive and use the trigonometric ratios for special right triangles
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