if a = 7 unit and b = 24 unit, what is the area of the biggest square? *

2 points

25 square unit
625 square unit
31 square unit
961 square unit

Question

if a = 7 unit and b = 24 unit, what is the area of the biggest square? *

2 points

25 square unit
625 square unit
31 square unit
961 square unit

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem", "Right Triangles" ], "new_concepts": [ "Area of Squares on Right Triangle Sides" ], "current_concepts": [ "Pythagorean Theorem", "Right Triangles", "Area of Squares on Right Triangle Sides" ] } ## Calculate the hypotenuse squared $$ \begin{aligned} c^2 &= a^2 + b^2 \ c^2 &= 7^2 + 24^2 \ c^2 &= 49 + 576 \ c^2 &= 625 \end{aligned} $$ ## Determine the area of the biggest square $$ \begin{aligned} \text{Area}_a &= a^2 = 49 \ \text{Area}_b &= b^2 = 576 \ \text{Area}_c &= c^2 = 625 \ \text{Area}_{\text{biggest}} &= 625 \text{ square unit} \end{aligned} $$

25 square unit

625 square unit

31 square unit

961 square unit

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the hypotenuse squared

Determine the area of the biggest square

Answer: