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. Check the original PDF →
- 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
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
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.
Loading…
Searched on YouTube by topic, not by question text. Open this search on YouTube →
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.