Aptitude · all questions

Triangles
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153

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Q141

In a right angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is:

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Q142

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:

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Q143

In case of an acute angled triangle, its orthocenter lies:

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Q144

If the measure of the angles of a triangle are in the ratio 1 : 2 : 3 and if the length of the smallest side of the triangle is 10 cm, then the length of the longest side is:

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Q145

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incenter of ΔABC, ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are:

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Q146

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is:

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Q147

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is:

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Q148

If ΔPQR and ΔLMN are similar and 3PQ = LM and MN = 9 cm, then QR is equal to:

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Q149

In a ΔABC, ∠A + ∠B = 75° and ∠B + ∠C = 140°, then ∠B is:

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Q150

ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?

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Q151

ABC is a triangle, PQ is line segment intersecting AB is P and AC in Q and PQ || BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is:

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Q152

Which of the following is a true statement

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Q153

ΔABC is similar to ΔDEF is area of ΔABC is 9 sq. cm. and area of ΔDEF is 16 sq. cm. and BC = 21 cm. Then the length of EF will be:

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