{"id":"cb_practice_pdf:t8-math-m2-q5","source_id":"cb_practice_pdf","source_item_id":"t8-math-m2-q5","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-8","module_number":2,"position":5,"stem":"- a b Note: Figure not drawn to scale. a = 4 b = 5 For the right triangle shown, and. Which expression represents the value of c? 4 +5","stimulus":"","stimulus_html":null,"stem_html":"<p>- a b Note: Figure not drawn to scale. a = 4 b = 5 For the right triangle shown, and. Which expression represents the value of c? 4 +5</p>","rationale_html":"<p>Choice D is correct. By the Pythagorean theorem, if a right triangle has a 2= 2+ 2 hypotenuse with length c and legs with lengths a and b, then c a b . In the right triangle shown, the hypotenuse has length c and the legs have lengths a = = and b. It’s given that a 4 and b 5. Substituting 4 for a and 5 for b in the 2=42+52 Pythagorean theorem yields c . Taking the square root of both sides of =! 42+52 this equation yields c . Since the length of a side of a triangle must be 42+52 positive, the value of c is . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>(4)(5)</p>","ord":0},{"label":"B","content_html":"<p>4 +5</p>","ord":1},{"label":"C","content_html":"<p>2 4 +5^2</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}