Quantitative Aptitude - Geometry - Triangles - Let P be an interior point
Quantitative Aptitude - Geometry - Triangles
Question
Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4 (√2 - l) cm, then the area, in sq cm, of the triangle ABC is
Answer
16
Solution
From CAT 2017 - Quantitative Aptitude - Geometry - Triangles, we can see that,
PQ = PR = PS = 4(√2-1)
CS = PR
(PC)^2 = (PS)^2 + (CS)^2
On solving, we get, PC = 4√2(�

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Quantitative Aptitude - Geometry - Triangles - Let ABC be a right-angled triangle
Quantitative Aptitude - Geometry - Triangles
Question
Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is
Answer
24
Solution
As per the question from CAT 2017 - Quantitative Aptitude - Geometry - Triangles,
BC^2 = AB^2 + AC^2 = 625
BC = 25
Shortest Distance from A to hypotenus

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Quantitative Aptitude - Geometry - Triangles - From a triangle ABC with sides
Quantitative Aptitude - Geometry - Triangles
Question
From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is
A) 225√3
B) 500 / √3
C) 275 / √3
D) 250 / √3
Answer
Option (B)
Solution
As per the question from CAT 2017 - Quantitative Aptitude - Geometry - Triangles,
Area of triangle = root (s(s-a)(s-b

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Quantitative Aptitude – Geometry - Triangles – A triangle ABC has area 32 sq units
Slot -2 – Quantitative Aptitude – Geometry - Triangles – A triangle ABC has area 32 sq units
A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is?
a) 4√2 units
b) 8 units
c) 4 units
d) 2√2 units
Answer: c) 4 units
Solution: The distance OA will be minimum when the perpendicular from A on BC will pass through O.

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Quantitative Aptitude – Geometry - Triangles – On a triangle ABC, a circle with diameter BC
Slot -2 – Quantitative Aptitude – Geometry - Triangles – On a triangle ABC, a circle with diameter BC
On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively. If the lengths of AB, AC, and CP are 30 cm, 25 cm, and 20 cm respectively, then the length of BQ, in cm, is?
Answer: 24 cm
Solution:
As CP is perpendicular to AB and BQ is perpendicular to AC. So
AB×CP=AC×BQ

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