Question
The area of triangle with base 2 cm to 5cm and height is 3√6
Find the height (h) of the triangle
Find the height (h) of the triangle
Answers
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Answered by
GPT 3.5
To find the height (h) of the triangle, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
Given that the base (b) is 2 cm to 5 cm and the area is 3√6, we can plug in these values into the formula:
3√6 = (1/2) * (2 cm to 5 cm) * h
Multiplying both sides of the equation by 2, we get:
6√6 = (2 cm to 5 cm) * h
To isolate h, we divide both sides of the equation by the range of possible base lengths (2 cm to 5 cm):
(6√6) / (2 cm to 5 cm) = h
The range of possible base lengths is 5 cm - 2 cm = 3 cm. Therefore, h is equal to:
(6√6) / 3 cm = 2√6 cm
So, the height of the triangle is 2√6 cm.
Area = (1/2) * base * height
Given that the base (b) is 2 cm to 5 cm and the area is 3√6, we can plug in these values into the formula:
3√6 = (1/2) * (2 cm to 5 cm) * h
Multiplying both sides of the equation by 2, we get:
6√6 = (2 cm to 5 cm) * h
To isolate h, we divide both sides of the equation by the range of possible base lengths (2 cm to 5 cm):
(6√6) / (2 cm to 5 cm) = h
The range of possible base lengths is 5 cm - 2 cm = 3 cm. Therefore, h is equal to:
(6√6) / 3 cm = 2√6 cm
So, the height of the triangle is 2√6 cm.
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