what is the length of the unknown leg in the right triangle?

* 8 cm
* 16 cm
* 20 cm
* 40 cm

Question

what is the length of the unknown leg in the right triangle?

* 8 cm
* 16 cm
* 20 cm
* 40 cm

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", "Pythagorean Triples" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem", "Pythagorean Triples" ] } ## Set up the Pythagorean equation $$ a^2 + 21^2 = 29^2 $$ ## Solve for the unknown leg $$ \begin{aligned} a^2 + 441 &= 841 \ a^2 &= 841 - 441 \ a^2 &= 400 \ a &= \sqrt{400} \ a &= 20 \end{aligned} $$

8 cm

16 cm

20 cm

40 cm

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

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QUESTION IMAGE

Question

Explanation:

Set up the Pythagorean equation

Solve for the unknown leg

Answer: