The height drawn to the base of the isosceles triangle is 7.6 cm, and the side of the triangle is 15.2 cm.

The height drawn to the base of the isosceles triangle is 7.6 cm, and the side of the triangle is 15.2 cm. Find the corners of this triangle.

1. Let us introduce the designation of the vertices of the triangle by the symbols A, B, C. BH height. AC is the base. AB and BC – lateral sides.

2. In triangle ABН, the height of BH is a leg, the length of which is 2 times less than the hypotenuse AB (15.2: 7.6 = 2). Therefore, according to the properties of a right-angled triangle, the angle A is 30 °.

3. Angles A and C are equal as angles at the base of an isosceles triangle, that is, angle A = angle C = 30 °.

4. Angle B = 180 ° – 30 ° – 30 ° = 120 °.

Answer: angle A = angle C = 30 °, angle B = 120 °.