Question

В прямоуг. труг. биссектриса наибольшего угла пересекает гипотинузу по углом 80° найдите острые углы данного треугольника

Answer 1

55 и 35 градусов, решение на рисунке

Answer 2

Finding the acute angles of a triangle with a bisector and a given angle

To find the acute angles of a triangle when the bisector of the largest angle intersects the hypotenuse at an angle of 80°, we can use the properties of triangles and angle bisectors.

Let's denote the acute angles of the triangle as A, B, and C, with angle C being the largest angle. We are given that the bisector of angle C intersects the hypotenuse at an angle of 80°.

To find the acute angles A and B, we can use the following steps:

1. Step 1: Recall that the angle bisector of an angle in a triangle