Explanation Let a , b and c are the lengths of sides of a right angle triangle as shown in figure. According to Pythagoras theorem, c 2 = a 2 + b 2 If both legs in a right triangle have measure a . Then, c 2 = a 2 + a

6th Edition

ISBN: 9780321848741

Author: Marvin L. Bittinger

Publisher: PEARSON

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 10.7, Problem 6ES

To determine

To fill: The blank space in statement “If both legs in a right triangle have measure a, then the _____ measures a2 ” from the provided options.

(a) Hypotenuse

(b) Isosceles

(c) Legs

(d) Right

(e) Square roots

(f) 30°−60°−90°

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Chapter 10.7, Problem 5ES

Chapter 10.7, Problem 7ES

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Chapter 10 Solutions

Elementary and Intermediate Algebra

Ch. 10.1 - Prob. 1YT Ch. 10.1 - Prob. 2YT Ch. 10.1 - Prob. 3YT Ch. 10.1 - Prob. 4YT Ch. 10.1 - Prob. 5YT Ch. 10.1 - Prob. 6YT Ch. 10.1 - Prob. 7YT Ch. 10.1 - Prob. 8YT Ch. 10.1 - Prob. 9YT Ch. 10.1 - Prob. 10YT

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The blank space in statement “If both legs in a right triangle have measure a , then the _____ measures a 2 ” from the provided options. (a) Hypotenuse (b) Isosceles (c) Legs (d) Right (e) Square roots (f) 30 ° − 60 ° − 90 °

Solution Summary: The author explains that the length of the hypotenuse in an isosceles right triangle is sqrt2.

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To fill: The blank space in statement “If both legs in a right triangle have measure a, then the _____ measures a2 ” from the provided options.

(a) Hypotenuse

(b) Isosceles

(c) Legs

(d) Right

(e) Square roots

(f) 30°−60°−90°

Want to see the full answer?

Chapter 10 Solutions

The blank space in statement “If both legs in a right triangle have measure a , then the _____ measures a 2 ” from the provided options. (a) Hypotenuse (b) Isosceles (c) Legs (d) Right (e) Square roots (f) 30 ° − 60 ° − 90 °

Solution Summary: The author explains that the length of the hypotenuse in an isosceles right triangle is sqrt2.

Concept explainers

Videos

To fill: The blank space in statement “If both legs in a right triangle have measure a, then the _____ measures a2 ” from the provided options. (a) Hypotenuse (b) Isosceles (c) Legs (d) Right (e) Square roots (f) 30°−60°−90°

Want to see the full answer?

Chapter 10 Solutions

To fill: The blank space in statement “If both legs in a right triangle have measure a, then the _____ measures a2 ” from the provided options.

(a) Hypotenuse

(b) Isosceles

(c) Legs

(d) Right

(e) Square roots

(f) 30°−60°−90°