Trapeziums are divided into three equilateral triangles.
There are 4 trapeziums in a chain of 50 cm long.
How many equilateral triangles will there be in a trapezium that is in a chain of 1 metre long?
If you know the correct answer then only answer me otherwise I'll delete your answer....
There are 4 trapeziums in a chain of 50 cm long.
How many equilateral triangles will there be in a trapezium that is in a chain of 1 metre long?
If you know the correct answer then only answer me otherwise I'll delete your answer....
Answers & Comments
Verified answer
Answer:
A trapezium with 3 equal sides and one side double the equal side can be divided into 3 equilateral triangles of equal areas.
Step-by-step explanation:
SSS Congruence Rule (Side – Side – Side)
Two triangles are said to be congruent if all the sides of a triangle are equal to all the corresponding sides of another triangle.
Let ABCD is a trapezium in which
•AD = DC = BC = a
•AB = 2a
Draw medians through the vertices D and C on the side AB
AE = EB = a
Now in parallelogram ADCE, we have
•AD= EC= a
•AE = CD=a
The parallelogram has equal opposite sides
In triangle ADE and DEC,
•AD = EC
•AE = CD
•DE = BC
Thus, the triangles ADE and DEC are equilateral triangles having equal sides, which means trapezium can be divided into 3 equilateral triangles of equal area.