Question

Дано: ABC - треугольник BD = 8 ( высота ) AD = 15 DC = 6 Найти : AB BC AC Помогите пожалуйсто

Answer 1

Раз ВД высота, треугольник АВД прямоугольный. Значит по теореме Пифагора АВ2=АД2+ДС2=225+64=289. Отсюда АВ=17. Тоже для Треугольника ВДС. вс2=вд2+дс2=64+36=100. Отсюда ВС=10. АС=АД+ДС=15+6=21

Answer 2

Given Information:

We are given the following information about triangle ABC: - BD = 8 (height) - AD = 15 - DC = 6

We need to find the lengths of AB, BC, and AC.

Solution:

To find the lengths of AB, BC, and AC, we can use the properties of similar triangles and the Pythagorean theorem.

1. Finding AB: - Triangle ABD is a right triangle with BD as the height. Therefore, AB is the hypotenuse of triangle ABD. - Using the Pythagorean theorem, we can find AB: - AB^2 = AD^2 + BD^2 - AB^2 = 15^2 + 8^2 - AB^2 = 225 + 64 - AB^2 = 289 - AB = √289 - AB = 17

2. Finding BC: - Triangle BCD is a right triangle with BD as the height. Therefore, BC is the hypotenuse of triangle BCD. - Using the Pythagorean theorem, we can find BC: - BC^2 = BD^2 + DC^2 - BC^2 = 8^2 + 6^2 - BC^2 = 64 + 36 - BC^2 = 100 - BC = √100 - BC = 10

3. Finding AC: - AC is the sum of AB and BC. - AC = AB + BC - AC = 17 + 10 - AC = 27

Therefore, the lengths of AB, BC, and AC are: - AB = 17 - BC = 10 - AC = 27

Please let me know if I can help you with anything else.