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The perimeter of a right angled triangle measures 234 m and the hypotenuse measures 97 m. Then the other two sides of the triangle are measured as

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Important Questions on Geometry and Mensuration

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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 68
A 25 feet long ladder is placed against the wall with its base 7 feet from the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range
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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 69

In KyaKya Island, there is a circular park. There are four points of entry into the park, namely – P. Q. R and S. The king of the island His excellency Mr. Honolulu got three paths constructed which connected the points PQ, RS, and PS. The length of the path PQ is 10 units, and the length of the path RSIs 7 units. Later, the municipal corporation extended the paths PQ and RS past Q and R respectively, and they meet at a point T on the main road outside the park. The path from Q to T measures 8 units, and it was found that the ZPTS is 60°. Find the area (in square units) enclosed by the paths PT, TS, and PS.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 70
There are two circles C1, and C2, of radii 3 and 8 units respectively. The common internal tangent T, touches the circles at points P and Q respectively. The line joining the centers of the circles intersects T at X. The distance of X from the center of the smaller circle is 5 units. What is the length of the line segment PQ?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 71
In quadrilateral PQRS, PQ = 5unit , QR = 17 units, RS = 5 units, and PS 9 units. The length of the Diagonal QS can be:
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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 72
In an equilateral triangle ABC, whose length of each side is 3 cm, D is a point on BC such that BD = CD2. What is the length of AD?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 74
In a square PORS, A and B are two points on PS and SR such that PA = 2AS  , and RB = 2BS If PQ= 6, the area of the triangle ABQ Is
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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 1
In a triangle ABC, point D is on side AB and point E is on side AC, such that BCED is a trapezium. DE:BC = 3:5. Calculate the ratio of the area of AADE and the trapezium BCED.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 4
A ladder reaches a window that is 8 m above the ground on one side of the street. Keeping its foot on the same point, the ladder is twined to the other side of the street to reach a window 12 m high. Find the width of the street if the ladder is 13 m.