Glencoe Geometry Lesson 8-3 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc 8-3 Skills Practice Special Right Triangles
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8-3 Skills Practice Special Right Triangles Find r $ 12:17 Determine the length of the leg of 450-450-90° triangle with a hypotenuse length of 26 8 Find the
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a division of The McGraw-Hill Companies, Inc NAME DATE PERIOD Chapter 8 20 Glencoe Geometry 8-3 Skills Practice Special Right Triangles Find x
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7-3 Skills Practice Special Right Trlangles Find and y 6 ©
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Glencoe Geometry Lesson 8-3 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc 8-3 Skills Practice Special Right Triangles
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13 An equilateral triangle has an altitude length of 33 feet Determine the length of a side of the triangle 14 BOTANICAL GARDENS One
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Special Right Triangles Properties of 45°-45°-90° Triangles The sides of a 45°- 45°-90° right triangle have a e a special Skills Practice Special Right Triangles
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8-1 Skills Practice Geometric Write a similarity statement identifying the three similar triangles in the figure W SABCA Special Right Triangles Find X 1 3
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8-3 Skills Practice Special Right Triangles NAME length of an altitude 13 AGEC is a 30°-60°-90° triangle with right angle at E, and EC is the longer leg
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Properties of 45°-45°-90° Triangles The sides of a 45°-45°-90° right triangle have a special relationship If the leg of a 8-3 Skills Practice Special Right
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special relationship If the leg of a 45°-45°-90° right triangle is 1 units, show that the hypotenuse is
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Special Right Triangles Date_____ Period____ Find the missing side lengths Leave your answers as radicals in simplest form 1) a 2 2 b 45° 2) 4 x y 45° 3) x y 3 2 2 45° 4) x y 3 2 45° 5) 6 x y 45° 6) 2 6 y x 45° 7) 16 x y 60° 8) u v 2 30°-1-
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8-3 Skills Practice Special Right Triangles GEC is a 30°-60°-90° triangle with right angle at E Skills Practice Author:
NAME DATE PERIOD 8-3 Study Guide and Intervention
8-3 Study Guide and Intervention Special Right Triangles Properties of 45°-45°-90° Triangles The sides of a 45°-45°-90° right triangle have a special relationship Example 1 If the leg of a 45°-45°-90° right triangle is x units show that the hypotenuse is x ? 2 units 45 ° x ?? ° 45 Using the Pythagorean Theorem with b x then = = c2 a2 b2 = +
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8-3 Skills Practice Special Right Triangles Find x x 17 45° 45° 25 25 ? 2 8 5 ? 2 or 17 ? 2 ? 2 4 x 45° 5 100 45° 100 50 ? 2 100 ? 2 3 45° 48 48 ? 2 6 88 45° 44 ? 2 13 ? 7 Determine the length of the leg of 45°-45°-90° triangle with a hypotenuse length of 26 8
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Skills Practice Special Right Triangles Find x 1 45° 25 x 2 45° x 17 3 45° 48 x 4 45° 100 x 5 45° 100 x 6 45° 88 x 7 Determine the length of the leg of 45°-45°-90° triangle with a hypotenuse length of 26 8 Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 50 centimeters Find x and y 9 30
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Chapter 823Glencoe Geometry
Lesson 8-3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.8-3Skills Practice
Special Right Triangles
NAME ______________________________________________ DATE ____________ PERIOD _____Lesson 8-3
Find the exact values of xand y.
1. 2. 3.
4. 5. 6.
For Exercises 7-9, use the figure at the right.
7.If a?11, find band c.
8.If b?15, find aand c.
9.If c?9, find aand b.
For Exercises 10 and 11, use the figure at the right.10.The perimeter of the square is 30 inches. Find the length of B
?C?.11.Find the length of the diagonal B?D?.
12.The perimeter of the equilateral triangle is 60 meters. Find the
length of an altitude.13.?GECis a 30°-60°-90° triangle with right angle at E, and E?C?is
the longer leg. Find the coordinates ofGin Quadrant I for E(1, 1)
and C(4, 1). E F GD 60AB CD 45
b AB C ac 60
30
y x
13131313
y x 60?16 yx 45
?8 yx 45
?12 yx 30
?32 yx 60
?24