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In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm an 12 Jul 2019, 07:34
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

67% (01:18) correct 33% (00:52) wrong based on 3 sessions

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In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?

(1) 17.05
(2) 27.85
(3) 22.45
(4) 32.25
(5) 26.25
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E
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In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm an 13 Jul 2019, 01:59
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Note: This is definitely not a GMAT Question

Radius of the circumscribing circle = (AB * BC * CA)/(4 * Area of the triangle)

Area of the triangle = 1/2 * (AD * BC)

=> (AB * BC * CA)/(4 * Area of the triangle) = (AB * BC * CA)/(4 * 1/2 * AD * BC)
= (AB * CA)/(2 * AD)
= (17.5 * 9)/(2 * 3) = 26.25

The answer is (E).