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Questions and Answers
What does 'b' represent in the formula $a = \frac{1}{2}bh$ for the area of a triangle?
What does 'b' represent in the formula $a = \frac{1}{2}bh$ for the area of a triangle?
- Base of the triangle (correct)
- Height of the triangle
- Hypotenuse of the triangle
- Area of the triangle
If a triangle has a base of 10 cm and a height of 5 cm, what is its area?
If a triangle has a base of 10 cm and a height of 5 cm, what is its area?
- 50 $cm^2$
- 20 $cm^2$
- 25 $cm^2$ (correct)
- 15 $cm^2$
What is the area of a right-angled triangle with legs of length 3 and 4?
What is the area of a right-angled triangle with legs of length 3 and 4?
- 12
- 7
- 24
- 6 (correct)
A triangle has an area of 48 $cm^2$ and a base of 12 cm. What is the height of the triangle?
A triangle has an area of 48 $cm^2$ and a base of 12 cm. What is the height of the triangle?
If the area of a triangle is 36 $cm^2$ and its height is 9 cm, what is the length of its base?
If the area of a triangle is 36 $cm^2$ and its height is 9 cm, what is the length of its base?
The base of a triangle is twice its height. If the area of the triangle is 64 $cm^2$, what is the height of the triangle?
The base of a triangle is twice its height. If the area of the triangle is 64 $cm^2$, what is the height of the triangle?
Triangle ABC has a base (AB) of 10 cm. Its area is 50 $cm^2$. What is the perpendicular distance from point C to the base AB?
Triangle ABC has a base (AB) of 10 cm. Its area is 50 $cm^2$. What is the perpendicular distance from point C to the base AB?
A triangle and a rectangle have the same base and the same area. If the height of the triangle is 12 cm, what is the height of the rectangle?
A triangle and a rectangle have the same base and the same area. If the height of the triangle is 12 cm, what is the height of the rectangle?
Flashcards
Area of a Triangle Formula
Area of a Triangle Formula
A formula for the area of a triangle, where 'b' is the base and 'h' is the height.
Base of a Triangle
Base of a Triangle
The side of the triangle that is perpendicular to the height.
Height of a Triangle
Height of a Triangle
The perpendicular distance from the base to the opposite vertex.
Triangle Area Problem: Base=10cm, Height=5cm
Triangle Area Problem: Base=10cm, Height=5cm
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Find Height: Area=20 sq in, Base=8 in
Find Height: Area=20 sq in, Base=8 in
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Study Notes
- The area of a triangle can be calculated using the formula a=1/2bh, where 'a' represents the area, 'b' represents the base, and 'h' represents the height.
Easy Questions
- What is the area of a triangle with a base of 10 units and a height of 5 units?
- A triangle has an area of 20 square units and a base of 8 units. What is its height?
- If the height of a triangle is 6 units and its area is 30 square units, find the length of the base.
- Calculate the area of a right-angled triangle where the two shorter sides (base and height) are 4 units each.
- A triangle has a base of 12 cm and a height of 7 cm. Compute its area in square centimeters.
Medium Questions
- A triangle's area is 48 square inches. If the base is twice the height, what are the base and height?
- The base of a triangle is 3 cm more than its height. If the area is 44 square cm, find the dimensions of the base and height.
- A triangle and a rectangle have equal areas. The rectangle has sides of 6 and 8 units. If the triangle's base is 12 units, what is its height?
- Find the area of an isosceles right triangle if its leg (one of the two equal sides) measures 9 units.
- The area of a triangle is 54 square meters. If increasing the base by 2 meters increases the area by 6 square meters, find the original base and height.
Hard Questions
- Triangle ABC has a base BC of length 20 units. The height from A to BC is 10 units. Point D is on BC such that BD is 8 units. Find the area of triangle ABD.
- In triangle PQR, the area is 72 square units. If the height is decreased by 20% and the base is increased by 25%, what is the new area of the triangle?
- A triangle has vertices at points (0,0), (6,0), and (4,8) on a coordinate plane. Calculate the area of this triangle. (Hint: Use coordinate geometry principles to find the base and height).
- An equilateral triangle has sides of length 12 units. Find its area.
- The area of a triangle is given by the equation a=1/2bh. If both the base and height are increased by 20%, by what percentage does the area increase?
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