The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is the area of the triangle changing when the legs are 3 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 5 m long? c. At what rate is the length of the hypotenuse changing? a. Write an equation relating the area of an isosceles right triangle, A, and the length of the legs of the triangle,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 90E
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3.9.
The legs of an isosceles right triangle increase in length at a rate of 2 m/s.
a. At what rate is the area of the triangle changing when the legs are 3 m long?
b. At what rate is the area of the triangle changing when the hypotenuse is 5 m long?
C. At what rate is the length of the hypotenuse changing?
a. Write an equation relating the area of an isosceles right triangle, A, and the length of the legs of the triangle, x.
Transcribed Image Text:3.9. The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is the area of the triangle changing when the legs are 3 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 5 m long? C. At what rate is the length of the hypotenuse changing? a. Write an equation relating the area of an isosceles right triangle, A, and the length of the legs of the triangle, x.
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