What is the area of a triangle with a base of 8 cm and a height of 3 cm?

Using the formula $$A = \frac{1}{2}bh$$ , the area is $$A = \frac{1}{2} \times 8 \times 3 = 12 \text{ cm}^2$$ .

What is the area of a triangle with a base of 12 m and a height of 10 m?

Using the formula $$A = \frac{1}{2}bh$$ , the area is $$A = \frac{1}{2} \times 12 \times 10 = 60 \text{ m}^2$$ .

If a triangle has an area of 30 square units and a base of 10 units, what is the height?

Using the formula $$A = \frac{1}{2}bh$$ , rearranging gives height: $$h = \frac{2A}{b} = \frac{2 \times 30}{10} = 6 \text{ units}$$ .

What is the area of a triangle with a base of 15 ft and a height of 8 ft?

Using the formula $$A = \frac{1}{2}bh$$ , the area is $$A = \frac{1}{2} \times 15 \times 8 = 60 \text{ ft}^2$$ .

What is the area of a triangle with a base of 20 in and a height of 5 in?

Using the formula $$A = \frac{1}{2}bh$$ , the area is $$A = \frac{1}{2} \times 20 \times 5 = 50 \text{ in}^2$$ .

How do you find the area of a triangle if you know the lengths of all three sides?

You can use Heron's formula: First, calculate the semi-perimeter $$s = \frac{a + b + c}{2}$$ , then use $$A = \sqrt{s(s-a)(s-b)(s-c)$$ .

What is Heron's formula for the area of a triangle?

Heron's formula states that the area A of a triangle with sides a, b, and c is given by: $$A = \sqrt{s(s-a)(s-b)(s-c)$$ , where $$s = \frac{a+b+c}{2}$$ .

HW 1.5 Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle?

Back

2.

FLASHCARD QUESTION

Front

What does 'base' refer to in the context of a triangle?

Back

The 'base' of a triangle is any one of its sides, typically the one on which the triangle is considered to be standing.

3.

FLASHCARD QUESTION

Front

What does 'height' refer to in the context of a triangle?

Back

The 'height' of a triangle is the perpendicular distance from the base to the opposite vertex.

4.

FLASHCARD QUESTION

Front

How do you calculate the area of a rectangle?

Back

5.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the area of a triangle and the area of a rectangle?

Back

The area of a triangle is half the area of a rectangle with the same base and height.

7.

FLASHCARD QUESTION

Front

If the base of a triangle is 10 units and the height is 5 units, what is the area?

Back

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