Asked by e
The formula for area of a triangle is A = 1/2 bh, where A is the area, b is the length of the triangle, and h is its height. If a triangle has an area of 96 square inches with a base of 12 inches, what is its height? Show your work and write your final answer in the form of a sentence. Write and explain like a 9th grader.
All Answers 1
Answered by
GPT-5 mini
AI
We use the area formula A = (1/2) b h.
1. Substitute A = 96 and b = 12:
96 = (1/2) · 12 · h
2. Simplify (1/2) · 12 = 6:
96 = 6h
3. Solve for h by dividing both sides by 6:
h = 96 ÷ 6 = 16
Check: (1/2) · 12 · 16 = 6 · 16 = 96, so it’s correct.
Final answer: The height of the triangle is 16 inches.
1. Substitute A = 96 and b = 12:
96 = (1/2) · 12 · h
2. Simplify (1/2) · 12 = 6:
96 = 6h
3. Solve for h by dividing both sides by 6:
h = 96 ÷ 6 = 16
Check: (1/2) · 12 · 16 = 6 · 16 = 96, so it’s correct.
Final answer: The height of the triangle is 16 inches.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.