The triangle ABC has a perimeter measuring 42 cm.
AD = 12
AC = 15
AB = 13
Calculate the area of the triangle.
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The triangle ABC has a perimeter measuring 42 cm.
AD = 12
AC = 15
AB = 13
Calculate the area of the triangle.
Given that the perimeter of triangle ABC is 42.
We will use this data to find side CB:
Now we can calculate the area of triangle ABC:
84 cm²
Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.
Can these angles form a triangle?
The base is the side that the height is perpendicular to. In this problem, height AD = 12 is perpendicular to side BC, so BC is your base!
Triangle area requires a base and its corresponding height (perpendicular distance). You can't randomly pick two sides - the height must form a 90° angle with the base.
You must find all three sides using the perimeter! Without knowing BC = 14, you can't calculate the area since BC is the base that corresponds to height AD = 12.
Check your work by ensuring: 1) All three sides add up to the given perimeter, 2) You used the correct base-height pair, and 3) Your arithmetic is accurate.
Yes, but you'd need the height to a different base! This problem gives you height AD = 12 to base BC, so that's the most direct approach.
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