The height KH is drawn to the LM side of the KLMN diamond. This height divides the LM side into segments LH = 76, HM = 19.

The height KH is drawn to the LM side of the KLMN diamond. This height divides the LM side into segments LH = 76, HM = 19. Find the height of this rhombus.

Due to the drawn height, a right-angled triangle KLH was formed in the rhombus, the hypotenuse of which is equal to the side of the rhombus
We know. that all sides of the rhombus are equal, then KL = LM = 76 + 19 = 95
Find the unknown leg of this rectangle, which is the height:
95’2 = KH’2 + 76’2
KH = 57
Answer: 57



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