Area of a Triangle

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Questions and Answers

The area of a triangle can be found by multiplying one-half by the base and the height.

True (A)

If a triangle's base is 4.8 cm and its height is 3.6 cm, its area is approximately 26.4 $cm^2$.

False (B)

The expression $x^{-\frac{1}{2}}$ is a polynomial.

False (B)

The degree of the polynomial $5x^3 + 2x^2 - x + 7$ is 2.

<p>False (B)</p> Signup and view all the answers

An algebraic expression with a fractional exponent on a variable is still considered a polynomial.

<p>False (B)</p> Signup and view all the answers

The expression $3\sqrt{x} + \sqrt{2x}$ meets the requirements to be classified as a polynomial.

<p>False (B)</p> Signup and view all the answers

If a triangle has a base of 5 cm and a height of 8 cm, the area is 40 $cm^2$.

<p>False (B)</p> Signup and view all the answers

In the polynomial $y^2 + 2\sqrt{3}$, the term $2\sqrt{3}$ affects whether the expression is a polynomial.

<p>False (B)</p> Signup and view all the answers

If a parallelogram and a triangle have the same base and height, the area of the triangle is half the area of the parallelogram.

<p>True (A)</p> Signup and view all the answers

The area of a square with side length $s$ can be calculated using the same formula as the area of a triangle.

<p>False (B)</p> Signup and view all the answers

Flashcards

Area of a Triangle

A triangle's area is calculated using half of the base multiplied by the height.

Non-Polynomial Expressions

Expressions that cannot be a polynomial include variables with fractional powers or that appear in the denominator of a fraction.

Study Notes

  • To find the area of a triangle, you need the base and height
  • The base measures 4.8cm
  • The height measures 3.6cm

Area of a Triangle

  • The area of a triangle is calculated using the formula: Area = (1/2) * base * height
  • In this case Area = (1/2) * 4.8cm * 3.6cm
  • The area of this triangle is: 8.64 cm^2

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