Question

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Answer 1

Answer:

The area of the given traingle is 2x² - 8x + 8 square inches.

Explanation:

Let ‘b’ be the base and ‘h’ be the height of the traingle the it’s area is given by,

→ Area = 1/2 * b * h

By substituting the given values in the formula, we get the following results:

→ Area = 1/2 * (2x - 4) * (2x - 4)

→ Area = 1/2 * (2x - 4)²

→ Area = 1/2 * (4x² - 16x + 6)

→ Area = 2x² - 8x + 6

Hence, the area of the given traingle is 2x² - 8x + 8 square inches.

Additional information:

• A triangle has three sides or edges.
• A triangle has three angles.
• A triangle has three vertices or corners.
• The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.
• The sum of the length of any two sides of a triangle is greater than the length of the third side.
• There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.
• Area of triangle = 1/2 × b × h.
• Perimeter of triangle = sum of all sides.

Answer 2

Answer:

• B) A = 2x² - 8x + 8

Step-by-step explanation:

Area of a triangle

• A = 1/2bh

Here,

• b = 2x - 4
• h = 2x - 4

Solving

• A = 1/2 (2x - 4) (2x - 4)
• A = 1/2 (2x - 4)²
• A = 1/2 (4x² - 16x + 16)
• A = 2x² - 8x + 8