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AssignmentMultiple Select

Area of Triangles

Question 7 • ELPGEQ3 M/J Math 6 - 1205010 HCPS v24

Which statements about triangles are true? Select all that apply.

Answer
A
Two triangles can be put together to form a parallelogram.
B
The area of a triangle can be found using the formula A = 2bh.
C
All triangles have an area that is one half the area of a rectangle with the same base and height.
D
A diagonal can split a rectangle with an area of 40 square units into two triangles with areas of 20 square units each.
E
A triangle with a base and height of 4 units has a greater area than a square with the same dimensions.

Explanation

Two matching copies of a triangle can be joined to make a parallelogram, so A is true. A triangle’s area is A = ½bh, not 2bh, so B is false; this formula also means its area is half that of a rectangle with the same base and height, making C true. A diagonal divides a rectangle into two equal-area triangles, so a 40-square-unit rectangle gives two triangles of 20 square units each, making D true. A triangle with base and height 4 has area ½ × 4 × 4 = 8 square units, less than a 4-by-4 square’s 16 square units, so E is false.

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