The area of any triangle is equal to half the product of the height and the side to which the height is drawn.
By the property of an isosceles triangle, BE is both height and median. Therefore, AE = EC = AC / 2.
The triangle ABE is rectangular (because BE is the height).
By the Pythagorean theorem, we find the height BE:
AB2 = AE2 + BE2
AB2 = (AC / 2) 2 + BE2
34 ^ 2 = (60/2) ^ 2 + BE ^ 2
1156 = 900 + BE ^ 2
BE ^ 2 = 256
BE = 16
SABC = (BE * AC) / 2 = (16 * 60) / 2 = 16 * 30 = 480
Answer: SABC = 480
Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.