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What is the formula for the area of an isosceles triangle?

An example of an AI chatbot conversation about the isosceles triangle area formula.

😀
You

What is the formula for the area of an isosceles triangle?

MagicBuddy
MagicBuddy

The area of an isosceles triangle can be calculated using the formula: Area = (base * height) / 2.

😀
You

How do I find the height if I only know the lengths of the sides?

MagicBuddy
MagicBuddy

You can use the Pythagorean theorem. If the equal sides are 'a' and the base is 'b', the height 'h' can be found using: h = √(a² - (b/2)²).

😀
You

Can you give me an example with numbers?

MagicBuddy
MagicBuddy

Sure! If the equal sides are 5 units and the base is 6 units, the height would be h = √(5² - (6/2)²) = √(25 - 9) = √16 = 4 units.

😀
You

What if I only have the area and base, how can I find the height?

MagicBuddy
MagicBuddy

You can rearrange the area formula: height = (2 * Area) / base. Just plug in your values!

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