Math Problem Statement

Cho một tấm nhôm hình tam giác đều có cạnh bằng 20 (cm). Người ta cắt ở ba góc của tấm nhôm đó ba tam giác như hình vẽ dưới đây để được hình chữ nhật |MNPQ. Tìm độ dài đoạn MB để hình chữ nhật MNPQ có diện tích lớn nhất?

Solution

The image you've uploaded contains a geometry problem. Based on the description in the problem, the figure is a symmetric isosceles triangle with an inscribed rectangle. You're tasked with determining the length of the base MBMB of the rectangle MNPQMNPQ, which has the largest area possible, within the triangle.

Let's break down the approach to solve this:

  1. Understanding the Geometry:
    • The

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Optimization
Area of a Rectangle

Formulas

Area of a rectangle: A = l * w
Area of a triangle: A = 1/2 * base * height

Theorems

Symmetry in Geometry
Optimization methods for maximizing area

Suitable Grade Level

Grades 10-12

Related Recommendation

Maximizing Area of a Rectangle Inscribed in a Triangle

Maximizing the Area of an Isosceles Triangle with a 100-meter Fence

Maximizing Rectangle Area Inscribed in a Right Triangle

Maximizing the Area of an Isosceles Triangle Along a River

Maximizing the Area of a Rectangle Inscribed in a Semicircle of Radius 10 Inches