Aptitude · all questions

Triangles
practice.

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153

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Q121

ABC is an equilateral triangle. Points D, E and F are taken as the mid-point on sides AB, BC, AC respectively, so that AD = BE = CF. Then AE, BF, CD enclosed a triangle which is:

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Q122

The side BC of a triangle ABC is proceed to D. If ∠ACD = 112° and ∠B =

\frac{3}{4}

∠A, then the measure of ∠B is:

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Q123

ΔABC is similar to ΔDEF. If the sides of ΔABC, that is AB, BC and CA, are 3, 4 and 5 cms respectively, what would be the perimeter of the ΔDEF, if the side DE measures 12 cms ?

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Q124

In a ΔPQR, ∠Q = 55° and ∠R = 35°. Find the ratio of angles subtended by side QR on circumcenter, incenter and orthocenter of the triangle.

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Q125

In ΔPQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX : XQ = 5 : 6, then XY : QR will be

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Q126

In an isosceles triangle ΔABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to.

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Q127

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be

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Q128

G is the centroid of ΔABC. If AB = BC = AC, then measure of ∠BGC is:

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Q129

In a ΔABC, BC is extended upto D; ∠ACD = 120°, ∠B =

\frac{1}{2}

∠A, then ∠A is:

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Q130

In a triangle ABC, if ∠A + ∠C = 140° and ∠A + 3∠B = 180°, then ∠A is equal to:

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Q131

Length of the sides of a triangle are a, b and c respectively. If a² + b² + c² = ab + bc + ca then the triangle is:

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Q132

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is:

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Q133

Incenter of ΔABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠BIC is:

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Q134

If in ΔABC, DE || BC, AB = 7.5 cm BD = 6 cm and DE = 2 cm then the length of BC in cm is:

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Q135

Which of the set of three sides can't form a triangle?

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Q136

The orthocenter of a triangle is the point where?

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Q137

Possible length of the sides of a triangle are:

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Q138

The centroid of a triangle is G. If area of ΔABC = 72 sq. unit, then the area of ΔBGC is?

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Q139

Three sides of a triangle are 5 cm, 9 cm and x cm. The minimum integral value of x is:

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Q140

ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12

5

and BC = 24 cm then radius of circle is:

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