Equilateral Triangle Area Quiz

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Test your understanding of equilateral triangle area calculations.

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Keyra Nicool Nolberto De La Cruz

República Dominicana

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Equilateral Triangle Area Quiz


Equilateral Triangle Area QuizVersión en línea Test your understanding of equilateral triangle area calculations. por Keyra Nicool Nolberto De La Cruz 1 What is the formula for the area of a triangle used here? a A = base + height b A = (base × height) / 2 c A = (base × height) × 2 d A = base × height 2 If the side length is 2 cm, what is half of the base? a 1 cm b 2 cm c 0.5 cm d 1.5 cm 3 What height calculation is used for the equilateral triangle with side 2 cm? a h^2 = 4 - 2 b h^2 = 2^2 + 1^2 c h = √(2^2 + 1^2) d h^2 = 2^2 - 1^2 4 What is the height (h) of the 2 cm side equilateral triangle? a √3 cm b 2 cm c √2 cm d √5 cm 5 Which theorem is used to calculate the height in this problem? a Congruent triangles theorem b Pappus' centroid theorem c Pythagoras’ theorem d Trigonometric ratio 6 What is the exact area of the triangle with side 2 cm? a 3 cm² b 2 cm² c √3 cm² d 2√3 cm² 7 What is the decimal approximation of √3 used here? a 1.41 b 1.80 c 2.00 d 1.73 8 What is the approximate area of the triangle? a 1.00 cm² b 3.14 cm² c 1.73 cm² d 2.00 cm² 9 Which formula is substituted to obtain the area? a A = base × height b A = (base + height) / 2 c A = base × height × 2 d A = (base × height) / 2 10 What is the difference between exact and decimal area expressions? a There is no difference b Exact uses a radical; decimal uses a finished number c Decimal is rational only d Exact is larger Feedback 1 The standard area formula for a triangle is base times height divided by 2. 2 Half of the base (2 cm) is 1 cm. 3 Height is found via the right triangle: h^2 = side^2 - (half-side)^2. 4 Solving gives h = √3 cm. 5 Height derivation uses the Pythagorean theorem in the right triangle. 6 Area exact value is √3 cm². 7 √3 is approximately 1.73 in decimal form. 8 Using the decimal for √3 yields about 1.73 cm². 9 Insert base and height into the triangle area formula. 10 Exact area uses √3; decimal gives a numeric approximation.

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Equilateral Triangle Area Quiz

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Creada por

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Equilateral Triangle Area QuizVersión en línea

por Keyra Nicool Nolberto De La Cruz

What is the formula for the area of a triangle used here?

If the side length is 2 cm, what is half of the base?

What height calculation is used for the equilateral triangle with side 2 cm?

What is the height (h) of the 2 cm side equilateral triangle?

Which theorem is used to calculate the height in this problem?

What is the exact area of the triangle with side 2 cm?

What is the decimal approximation of √3 used here?

What is the approximate area of the triangle?

Which formula is substituted to obtain the area?

What is the difference between exact and decimal area expressions?

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