Triangle Area Calculation Using Base and Height
To find the area of a triangle, we use the formula relating its base and height. The problem provides the length of one side (which can serve as the base) and the corresponding perpendicular height.
Identify Given Values
- Base ($b$): 15 cm
- Height ($h$): 6 cm
Apply Area Formula
The formula for the area of a triangle is:
$ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} $
In LaTeX notation:
$ A = \frac{1}{2} b h $
Calculate the Area
Substitute the given values into the formula:
$ A = \frac{1}{2} \times 15 \text{ cm} \times 6 \text{ cm} $
First, multiply the base and height:
$ 15 \times 6 = 90 $
So the equation becomes:
$ A = \frac{1}{2} \times 90 \text{ cm}^2 $
Now, multiply by $\frac{1}{2}$ (or divide by 2):
$ A = 45 \text{ cm}^2 $
Conclusion
The calculated area of the triangle is 45 square centimeters.
Similar Questions
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Important Questions from Triangles
Among the following options, which are NOT sides of a triangle?
In a Δ ABC, if ∠A = 120° and AB = AC, then the values of ∠B and ∠C are respectively:
In the equilateral Δ ABC, the base BC is trisected at D and E. The line through D, Parallel to AB, meets AC at F and the line through E parallel to AC meets AB at G. If EG and DF intersect at H, then what is the ratio of the sum of the area of parallelogram AGHF and the area of the Δ DHE to the area of the Δ ABC?
The product of the perimeter of a triangle, the radius of its in‐circle, and a number gives the area of the triangle. The number is
A man goes 24 m towards east and then 10 m towards north. How far is he away from his initial position?
