Question

Всі бічні ребра трикутної піраміди попарно перпендикулярні і дорівнюють 9см; 12см і 16см. Знайти: об'єм піраміди і S бічної поверхні

Answer 1

Відповідь:

Покрокове пояснення:

розв'язання завдання додаю

Answer 2

#### Given Information: - The triangular pyramid has all its lateral edges perpendicular to each other. - The lengths of the lateral edges are 9 cm, 12 cm, and 16 cm. #### Finding the Volume of the Pyramid: To find the volume of the pyramid, we can use the formula: **Volume = (1/3) * base area * height** In this case, the base of the pyramid is a triangle, and the height is the perpendicular distance from the base to the apex (top) of the pyramid. To find the base area, we need to determine the dimensions of the base triangle. Since the lateral edges are perpendicular to each other, we can conclude that the base triangle is a right triangle. Let's denote the sides of the base triangle as **a**, **b**, and **c**, where **a = 9 cm**, **b = 12 cm**, and **c = 16 cm**. Using the Pythagorean theorem, we can find the length of the third side (**c**) of the base triangle: **c^2 = a^2 + b^2** Substituting the given values, we have: **16^2 = 9^2 + 12^2** Simplifying the equation: **256 = 81 + 144** **256 = 225** Since the equation is not true, we made an error in the given information or calculations. Please double-check the lengths of the lateral edges. If the given lengths of the lateral edges are correct, it is not possible to form a right triangle with side lengths of 9 cm, 12 cm, and 16 cm.