A right-angled triangle ABC is shown on a grid. AB is along the x-axis and AC is along the y-axis. AB is 4 units and AC is 3 units. Calculate the length of the hypotenuse BC.

April 28, 2026Mathematics

ScanSolve AI Answer

April 28, 2026

Answer

1 m:

Step 1: Determine the lengths of the legs of the right-angled triangle $\triangle ABC$ from the diagram. By counting the grid units and assuming 1 unit = 1 m: The horizontal leg $\overline{AB}$ is 4 units long, so $\overline{AB} = 4 \text{ m}$ . The vertical leg $\overline{AC}$ is 3 units long, so $\overline{AC} = 3 \text{ m}$ .

Step 2: Use the Pythagorean theorem to calculate the length of the hypotenuse $\overline{BC}$ . $\overline{BC}^2 = \overline{AB}^2 + \overline{AC}^2$

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Quick Answer

Determine the lengths of the legs of the right-angled triangle ABC from the diagram.

Asked on April 28, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 28, 2026

Step 1: Determine the lengths of the legs of the right-angled triangle ABC from the diagram. By counting the grid units and assuming 1 unit = 1 m: The horizontal leg AB is 4 units long, so AB = 4 m. The vertical leg AC is 3 units long, so AC = 3 m. Step 2: Use the Pythagorean theorem to calculate the length of the hypotenuse BC. BC^2 = AB^2 + AC^2 BC^2 = (4 m)^2 + (3