A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #9 #, #4 #, and #5 #, respectively. What is the rectangle's area?

Answer 1

≈ 40.31 square units

The area of the rectangle #color(blue)" = 5B " #
Require to find B. Since it is a right triangle we can use#color(red)" Pythagoras' theorem " #
Since side A is the hypotenuse then # A^2 = B^2 + C^2 #
and # B^2 = A^2 - C^2 = 9^2 - 4^2 = 81 - 16 = 65 #
now # B^2 = 65 rArr B = sqrt65 #
so area of rectangle = 5B = #5xxsqrt65 ≈ 40.31" square units " #
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Answer 2

To find the area of the rectangle, use the formula for the area of a rectangle: Area = length × width. Since side B of the rectangle is given as 5 and one of its adjacent sides is side C of the triangle, which is given as 4, the length of the rectangle is 5 and the width is 4. Therefore, the area of the rectangle is 5 × 4 = 20 square units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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