MCQ TrianglesSET 1 1. In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :6 cm8 cm7 cm10 cmQuestion 1 of 202. The point of intersection of the altitudes of a triangle is called its:IncentreExcentreOrthocentreCentroidQuestion 2 of 203. If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is5 cm10 cm20 cm15 cmQuestion 3 of 204. I is the incentre of ΔABC, ∠ABC = 60° and ∠ACB = 50°, Then ∠BIC is55°125°70°65°Question 4 of 205. The orthocentre of a right angled triangle liesOutside the triangleAt the right angular vertexOn its hypotenuseWithin the triangleQuestion 5 of 206. If ΔABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is:5\( \sqrt{2cm} \)10 cm2.5 cm5 cmQuestion 6 of 207. Let O be the in-centre of a triangle ABC and D be a point on the side BC of ΔABC, such that OD ⊥ BC. If ∠BOD = 15°, then ∠ABC = ?75°45°150°90°Question 7 of 208. If the circumcentre of a triangle lies outside it, then the triangle isRight angledEquilateralAcute angledObtuse angledQuestion 8 of 209. ABC is an isosceles triangle such that AB = AC and ∠B = 35°, AD is the median to the base BC. Then ∠BAD is70°35°110°55°Question 9 of 2010. Taking any three of the line segments out of segments of length 2 cm, 3 cm, 5 cm and 6 cm, the number of triangles that can be formed is:1324Question 10 of 2011. In a triangle, if three altitudes are equal, then the triangle isObtuseEquilateralRightIsoscelesQuestion 11 of 2012. In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is60°120°30°90°Question 12 of 2013. If the length of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :10 cm7.5 cm6 cm8 cmQuestion 13 of 2014. In a right-angle ΔABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is6.5 cm7.5 cm6 cm7 cmQuestion 14 of 2015. If ABC is an equilateral triangle and D is a point of BC such that AD ⊥ BC, thenAB : BD = 2 : 1AB : BD = 1 : 1AB : BD = 1 : 2AB : BD = 3 : 2Question 15 of 2016. AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is8 cm4 cm5 cm6 cmQuestion 16 of 2017. The equidistant point from the vertices of a triangle is called its:CircumcenterCentroidIncenterOrthocenterQuestion 17 of 2018. Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses isAX ≠ BY ≠ CZAX = BY = CZAX ≠ BY = CZAX = BY ≠ CZQuestion 18 of 2019. The sum of three altitudes of a triangle isGreater than the sum of sidesEqual to the sum of three sidesLess than the sum of sidesTwice the sum of sidesQuestion 19 of 2020. In ΔABC, ∠B = 60° and ∠C = 40°. If AD and AE be respectively the internal bisector of ∠A and perpendicular on BC, then the measure of ∠DAE is40°5°10°60°Question 20 of 20 Loading...
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