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alextrainer
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In attached file, I understand 50 is the base; no idea how to use the 24 height to calculate length of ON - must have to do with property of right triangles?
View attachment 6367
View attachment 6367
HallsofIvy said:These are, of course, right triangles so you can use the Pythagorean theorem To determine the length of the hypotenuse of the small triangle. Then, since the angles of the large and small triangles are the same, they are similar triangles. Corresponding parts of the two right triangles are proportional.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be represented as a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse. This formula can be used to find the missing side length in a right triangle.
Yes, a triangle with three equal sides is called an equilateral triangle. In this case, all angles in the triangle are also equal, measuring 60 degrees each.
A right triangle has one angle measuring 90 degrees, also known as a right angle. To determine if a triangle is a right triangle, we can use the Pythagorean theorem or check if the lengths of the sides satisfy the relationship a^2 + b^2 = c^2.
Yes, a triangle with two equal sides is called an isosceles triangle. The third side, called the base, can be a different length.
There are three different types of triangles based on the lengths of the sides: equilateral, isosceles, and scalene. In addition, there are also three different types based on the angles: acute, right, and obtuse.