Calculate the area of the triangle below, if possible.
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Calculate the area of the triangle below, if possible.
To solve this problem, we will follow these steps:
Let's work through each step in detail:
Step 1: We are seeking to calculate the area of the triangle. We identified that the line segment of 4 units represents the height, and the base is 7 units.
Step 2: We will apply the formula for the area of a right triangle: .
Step 3: Plug the values we have: .
Thus, the area of the triangle is square units.
14
Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.
Can these angles form a triangle?
In a right triangle, the base is horizontal and the height is vertical. Look for the right angle symbol (small square). The two sides forming the right angle are your base and height - not the hypotenuse!
A triangle is exactly half of a rectangle! If you drew a rectangle with the same base and height, the triangle would fill exactly half of it. That's why we use .
The side labeled 6 is the hypotenuse (longest side). For area calculations, we only use the two sides that form the right angle. Check your diagram again for the perpendicular sides!
Yes! Since we're calculating area, your answer should include square units. For example: 14 square units, 14 units², or 14 cm² if specific units were given.
This specific formula works for any triangle as long as you have a true base and its corresponding perpendicular height. The height must form a 90° angle with the base.
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