Students derive the formula for the area of a right triangle by seeing it as half of a rectangle, then apply the formula A = ½bh to find the area of triangles. They learn to identify the base and the height — including heights drawn outside the triangle — and compute areas in both math and real-world problems.
How the FAST tests this benchmark
The FAST tests this with equation editor items computing a triangle area from a labeled diagram and multiple choice items, including ones where students must pick the correct base-height pair.
Skills students need
Derive the area formula for a triangle from a rectangle
Apply the formula to find the area of a triangle
Try 4 real MA.6.GR.2.1 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
A triangle is shown. What is the area, in square centimeters, of the triangle?
Figure: a triangle with base 8 cm, height 5 cm.
Figure may not be drawn to scale
Correct answer: C. 20 cm²
This explanation shows one way to solve the problem.
Apply triangle area formula: A=21×base×height=21×8×5
Compute: 8×5=40, then 21×40=20 cm²
Final Answer
20 cm²
Question 2MediumEquation Editor
A triangle is shown. What is the area, in square centimeters, of the triangle?
Figure: a triangle with base 8 cm, height 3.5 cm.
Figure may not be drawn to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 14
This explanation shows one way to solve the problem.
Apply triangle area formula: A=21×base×height=21×8×3.5
Compute: 8×3.5=28, then 21×28=14 cm²
Final Answer
14 cm²
Question 3MediumEquation Editor
A triangle is shown. What is the area, in square centimeters, of the triangle?
Figure: a triangle with base 4 cm, height 7.5 cm.
Figure may not be drawn to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 15
This explanation shows one way to solve the problem.
Apply triangle area formula: A=21×base×height=21×4×7.5
Compute: 4×7.5=30, then 21×30=15 cm²
Final Answer
15 cm²
Question 4HardMultiple Choice
The side face of a ramp is shaped like a triangle with a base of 7 meters and a height of 12 meters. What is the area, in square meters, of the ramp face?
Figure: a triangle with base 7 m, height 12 m.
Figure may not be drawn to scale
Correct answer: C. 42 m²
This explanation shows one way to solve the problem.
Apply triangle area formula: A=21×7×12
Compute: 7×12=84, then 21×84=42 m²
Final Answer
42 m²
Master MA.6.GR.2.1 with personalized practice
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