the length of a Centre drawn on the diagonal in the right triangle is equal to the length of a diagonal
Answers
Answer:
The length of the diagonal is from the bottom left hand corner closest to us to the top right hand corner that's farthest away from us.
This kind of a problem may seem to be a little more complicated than it really is.
In order to solve for the diagonal length, all that's required is the Pythagorean Theorem. This equation will be used twice to solve for the dashed line.
For the first step of this problem, it's helpful to imagine a triangle "slice" that's being taken inside the prism.
Given : the length of the centre drawn on the hypotenuse in right angle triangles is equal to the ---–----–--- length of the hypotenuse
To Find : Fill in the blank
Solution:
Perpendicular bisector of all three sides of right angle triangle meet at center of hypotenuse
Hence center of hypotenuse is circum centre of triangle
Hence Distance from all the vertex of triangle are equal from center of hypotenuse
Hence center drawn on hypotenuse from third vertex = Half of the length of hypotenuse
as center drawn on hypotenuse from third vertex = radius
hypotenuse = Diameter
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