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505-555 (Easy)|   Geometry|      
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Bunuel
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Triangle RTS and triangle ACB in the preceding figure are similar righ 11 Feb 2019, 02:22
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15% (low)

Question Stats:

82% (01:03) correct 18% (01:36) wrong based on 38 sessions

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Triangle RTS and triangle ACB in the preceding figure are similar right triangles with side lengths that measure as indicated. What is the area of triangle ACB?

(A) 10
(B) 15
(C) 30
(D) 37.5
(E) 75

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Rajat1998
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Triangle RTS and triangle ACB in the preceding figure are similar righ 11 Feb 2019, 02:29
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Tr/rz =ca/ab (as they are similar triangles)

2/6= 5/ab
Ab=15

Area= 1/2×b×h
1/2 × 15 × 5 = 37.5

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KanishkM
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Triangle RTS and triangle ACB in the preceding figure are similar righ 11 Feb 2019, 02:37
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Bunuel

Triangle RTS and triangle ACB in the preceding figure are similar right triangles with side lengths that measure as indicated. What is the area of triangle ACB?

(A) 10
(B) 15
(C) 30
(D) 37.5
(E) 75
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Area of Triangle RTS = 1/2 * 6 *2 = 6

Triangle RTS and triangle ACB in the preceding figure are similar right triangles
Area of Triangle ACB/ Area of Triangle RTS = (CA/TR)^2

Area of Triangle ACB = 6 * 25 / 4

= 37.5

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