Asked by Ivan
Compute the area of a triangle with sides.
15 × 15 × 18
a = How many square units?
15 × 15 × 18
a = How many square units?
Answers
Answered by
drwls
There is a formula for the area of a triangle in terms of the side lengths.
Don't ask me to derive it. Here it is:
Let s = (a +b +c)/2
a,b and c are the side lengths.
For your triangle, s = 24
Area = sqrt[s*(s-a)*(s-b)*(s-c)]
= sqrt[24*9*9*6) = 108 square units
Check: Your triangle is isosceles and if you drop a line from the apex to the middle of the base, you have two
9:12:15 right triangles. The area of each is (1/2)(9*12) and that makes a total area of 108.
Don't ask me to derive it. Here it is:
Let s = (a +b +c)/2
a,b and c are the side lengths.
For your triangle, s = 24
Area = sqrt[s*(s-a)*(s-b)*(s-c)]
= sqrt[24*9*9*6) = 108 square units
Check: Your triangle is isosceles and if you drop a line from the apex to the middle of the base, you have two
9:12:15 right triangles. The area of each is (1/2)(9*12) and that makes a total area of 108.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.