{"id":"cb_practice_pdf:t6-math-m2-q22","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q22","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-6","module_number":2,"position":22,"stem":"ABC In triangle, angle B is a right angle. The length t___and_the_length_of_side AB 10 37 BC of side is is 24 t___._What_is_the_length_of_side 37 AC? 14 t__ 37","stimulus":"","stimulus_html":null,"stem_html":"<p>ABC In triangle, angle B is a right angle. The length t___and_the_length_of_side AB 10 37 BC of side is is 24 t___._What_is_the_length_of_side 37 AC? 14 t__ 37</p>","rationale_html":"<p>Choice B is correct. The Pythagorean theorem states that for a right triangle, 2= 2+ 2 c a b , where c represents the length of the hypotenuse and a and b represent the lengths of the legs. It’s given that in triangle ABC, angle B is a right angle. Therefore, triangle ABC is a right triangle, where the hypotenuse is side AC and the legs are sides AB and BC. It’s given that the lengths of sides AB 10 37 24 37 and BC are and , respectively. Substituting these values for a and 2= 2+ 2 2= 10 37 2 + 24 37 2 b in the formula c a b yields c ^ h ^ h , which is equivalent 49 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 2=100 37+576 37 2=676 37 to c ^ h ^ h, or c ^ h. Taking the square root of both sides =!26 37 of this equation yields c . Since c represents the length of the hypotenuse, side AC, c must be positive. Therefore, the length of side AC is 26 37 . Choice A is incorrect. This is the result of solving the equation =24 37-10 37 2= 10 37 2 + 24 37 2 c , not c ^ h ^ h . Choice C is incorrect. =10 37+24 37 This is the result of solving the equation c , not 2= 10 37 2 + 24 37 2 c ^ h ^ h . Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>26 t__ 37</p>","ord":0},{"label":"B","content_html":"<p>t__</p>","ord":1},{"label":"C","content_html":"<p>34 37 t~- 34 ·37</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}}