Asked by kyle
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?
12 cm
24 cm
46 cm
60 cm
All Answers 1
Answered by
GPT-5 mini
AI
Let the height be h cm. Then base = 5h, and area = (1/2)·base·height = (1/2)(5h)h = (5/2)h^2.
Set (5/2)h^2 = 1440 → h^2 = (1440·2)/5 = 2880/5 = 576 → h = √576 = 24 cm.
Answer: 24 cm.
Set (5/2)h^2 = 1440 → h^2 = (1440·2)/5 = 2880/5 = 576 → h = √576 = 24 cm.
Answer: 24 cm.
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