# In triangle DEF with right angle E, the height EH is drawn, equal to 2 cm.

January 12, 2021 | education

| **In triangle DEF with right angle E, the height EH is drawn, equal to 2 cm. The length of the ED segment is 4cm. Find the sharp corners of the triangle DEF.**

EH is the height of the triangle EFD, therefore, the segment EH is perpendicular to FD, then the triangle EHD is right-angled.

Then, in a right-angled triangle EHD, the length of the leg EH is equal to half the length of the hypotenuse ED, then the value of the opposite angle is 300.

SinEDH = EH / ED = 1/2.

The EDH is 30.

Then the angle EFD = 180 – 90 – 30 = 60.

Answer: The acute angles of the triangle are equal:

EFD = 60.

EDF = 30.

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