Expanding isosceles triangle The legs of an isosceles right tri-angle increase in length at a rate of 2 m/s.a. At what rate is the area of the triangle changing when the legsare 2 m long?b. At what rate is the area of the triangle changing when the hypot-enuse is 1 m long?c. At what rate is the length of the hypotenuse changing?
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Expanding isosceles triangle The legs of an isosceles right tri-
angle 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 2 m long?
b. At what rate is the area of the triangle changing when the hypot-
enuse is 1 m long?
c. At what rate is the length of the hypotenuse changing?
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