How To Calculate The Height Of A Right Isosceles Triangle
How to Calculate the Height of a Right Isosceles Triangle
What is a Right Isosceles Triangle?
A right isosceles triangle is a type of triangle that has two equal sides and two equal angles that are opposite the equal sides. It is also a right triangle, meaning it has one 90 degree angle. This type of triangle is a special case of the isosceles triangle, which has at least two equal sides and two equal angles.
What is the Formula to Calculate the Height of a Right Isosceles Triangle?
The formula to calculate the height of a right isosceles triangle is: height = (base * √2) / 2. This formula is derived from the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides.
How to Use the Formula to Calculate the Height of a Right Isosceles Triangle?
To use the formula to calculate the height of a right isosceles triangle, you will need to know the length of the base of the triangle. Once you have this information, you can use the formula to calculate the height of the triangle. To do this, simply multiply the base by the square root of two and then divide the result by two.
Example:
Suppose the base of a right isosceles triangle is 10 cm. To calculate the height of the triangle, you would use the formula: height = (base * √2) / 2. In this example, the height of the triangle would be 7.07 cm, calculated as follows: height = (10 cm * √2) / 2 = 7.07 cm.
Conclusion
In conclusion, the formula to calculate the height of a right isosceles triangle is: height = (base * √2) / 2. This formula is derived from the Pythagorean theorem and can be used with any base length to calculate the height of the triangle.
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