Math Problem Statement
Solution
The image shows a trapezium with two given angles and side lengths:
- Angle of 105° at the bottom left.
- Angle of 66° at the top right.
- Two parallel sides: 7 cm (bottom) and 6.4 cm (top).
- The non-parallel side between the 66° angle and the bottom 7 cm side is given as 6.4 cm.
To find:
We can calculate various properties such as:
- The height of the trapezium using trigonometry.
- The area of the trapezium.
- The length of the left slant side (from the 105° angle to the 6.4 cm side).
Would you like me to calculate any specific property of the trapezium, or proceed with finding the height and area?
Let me know if you'd like more details or clarification!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Trigonometry
Geometry
Area of Trapezium
Formulas
Area of trapezium = (1/2) * (sum of parallel sides) * height
Trigonometric height calculation using sine and cosine rules
Theorems
Sine Rule
Cosine Rule
Suitable Grade Level
Grades 9-11
Related Recommendation
Calculate the Area of a Trapezium with 7 cm and 9 cm Bases and 6 cm Height
Solve for the Height of a Trapezium with Given Area
Trapezium Area Problem: Find the Height Between Parallel Sides
Finding the Altitude of a Trapezium Given the Area and Base Lengths
Calculate the Height of a Trapezium Given Its Area and Parallel Sides