Question

in any right angle triangle if a perpendicular is drawn from the right angle point on the hypothesis the two triangle on both and each of them is similar to the right angle​


aisa kaise hua rahul
plz tell :( :( :(​

Answer 1

Answer:

Yes it is happening noawbejwkwjs

Answer 2

Explanation:

Yes, you are correct. In any right-angled triangle, if a perpendicular is drawn from the right angle to the hypotenuse, it divides the triangle into two smaller triangles. Each of these smaller triangles is similar to the original right-angled triangle and to each other.

This property is known as the geometric mean theorem or the altitude-on-hypotenuse theorem. According to this theorem, the lengths of the segments formed on the hypotenuse have a special relationship with the lengths of the sides of the original triangle.

Let's denote the three sides of the right-angled triangle as follows:

The side opposite the right angle (the hypotenuse) as c.

The two remaining sides as a and b, with a being adjacent to one acute angle and b adjacent to the other acute angle.

When the perpendicular is drawn from the right angle to the hypotenuse, it divides the hypotenuse into two segments. Let's call the lengths of these segments as x and y.