The area of the isosceles right angled triangle is 112.5 square centimeters.
Here's how to calculate it:
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Understanding the Triangle: An isosceles right angled triangle has two equal sides and one right angle. This type of triangle is also known as a 45-45-90 triangle because its angles measure 45°, 45°, and 90°.
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Area Formula: The area of a triangle is calculated using the formula: Area = (1/2) base height.
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Applying the Formula: In this case, the equal sides of the triangle serve as both the base and the height. Therefore:
- Base = 15 cm
- Height = 15 cm
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Calculation: Area = (1/2) 15 cm 15 cm = 112.5 square centimeters.
Therefore, the area of the isosceles right angled triangle is 112.5 square centimeters.