The height drawn to the base of the isosceles triangle is 4dm, and the lateral side is 80cm

The height drawn to the base of the isosceles triangle is 4dm, and the lateral side is 80cm. Find the corners of the triangle.

An isosceles triangle is a triangle with equal sides. The height drawn to the base is perpendicular, that is, it forms a right angle with the base of the triangle. The height has divided this triangle into two equal right-angled triangles. In these right-angled triangles, the hypotenuse is 80 cm. The leg is 4 dm = = 40 cm, that is, the leg is half the hypotenuse, which means it lies against an angle of 30 degrees. The angles of a triangle add up to 180 degrees. The angles of right-angled triangles are 30, 60, 90 degrees.

Answer: The angles of an isosceles triangle are 30, 30, 120 degrees.



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