Question

triangles end-of-lesson test 7 which of the following formulas is used when finding the area of a triangle? a = 2bh a = 1/2bh a = 1/2b/h a = bh skip 6/10 complete

Explanation:

To find the area of a triangle, the formula is based on the relationship between the base (\(b\)) and height (\(h\)) of the triangle. A triangle can be thought of as half of a parallelogram (which has an area formula \(A = b\times h\)). So, the area of a triangle is half the product of its base and height. The formula is \(A=\frac{1}{2}\times b\times h\) (or \(A = \frac{1}{2}bh\)).

Looking at the options:

• Option A: \(A = 2\times b\times h\) is incorrect as it would overstate the area (it's double the area of a parallelogram with the same base and height, not a triangle).
• Option B: \(A=\frac{1}{2}\times b\times h\) matches the correct formula for the area of a triangle.
• Option C: \(A=\frac{1}{2}\times b\div h\) is incorrect as dividing by height instead of multiplying doesn't align with the geometric relationship.
• Option D: \(A = b\times h\) is the formula for the area of a parallelogram, not a triangle.

Answer:

B. \(A = 1/2 * b * h\)