In an isosceles triangle CDM, DM base, the height CH is drawn. Find the segment DH if it is known that DM = 12cm.

univerkov | August 22, 2021 | education

Since CH is the height, the triangles CHD and CHM are rectangular.

The CDM triangle is isosceles, then the angle CDM = CMD, side CD = CM.

Then the right-angled triangles СНD and СНМ are equal in the third criterion, in hypotenuse and acute angle, which means DH = МН = DM / 2 = 12/2 = 6 cm.

Answer: The length of the segment DH is 6 cm.

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