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Chapter 2: Q. 90 (page 70)

Geometry Express the area A of an isosceles right triangle as a function of the length x of one of the two equal sides.

Short Answer

Expert verified

The area of isosceles right triangle isA(x)=12x2

Step by step solution

01

Step 1. Given Information

Express the area A of an isosceles right triangle as a function of the length x of one of the two equal sides.

02

Step 2. We know that the area of isosceles triangle A=12×base×height

The length of one of the two equal sides is x.

The value of base=xand height=x

03

Step 3. Putting the value in the formula

A(x)=12脳x脳x

The area of isosceles right triangle

A(x)=12x2

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Most popular questions from this chapter

Graph y=x. Then on the same screen graph y=2x, followed by y=4x, followed by

y=12x.What pattern do you observe? Can you predict the graph ofy=14x? ofy=5x

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Consider the equation

y=1ifxisrational0ifxisirrational

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True or FalseThe cube root function is odd and is decreasing on the interval (-鈭�,鈭�).

Determine whether each relation represents a function. For each function, state the domain and range.

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Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

h(x)=12x
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