If the length of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is -
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The circumcentre of a triangle ABC is O. If ∠BAC = 85° and ∠BCA = 75°, then the value of ∠OAC is
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If the incentre of an equilateral triangle lies inside the triangle and its radius in 3 cm, then the side of the equilateral triangle is
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ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If ar (ΔABC) = 40 cm2, ar (ΔACD) = 10 cm2 and AC = 9 cm, then the length of BC is
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The orthocentre of a right angled triangle lies
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O is the incentre of ΔABC and ∠A = 30°, then ∠BOC is
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If ΔABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is:
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In a triangle ABC, ∠BAC = 90° and AD is perpendicular to BC. If AD = 6 cm and BD = 4 cm then the length of BC is:
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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 = ?
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If the circumcentre of a triangle lies outside it, then the triangle is
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In a right angled ΔABC, ∠ABC = 90°, AB = 3, BC = 4, CA = 5; BN is perpendicular to AC, AN : NC is
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In a triangle ABC, incentre is O and ∠BOC = 110°, then the measure of ∠BAC is:
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I is the incentre of a triangle ABC. If ∠ACB = 55°, ∠ABC = 65° then the value of ∠BIC is
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For a triangle base is 6 cm and two base angles are 30° and 60°. Then height of the triangle is
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D is any point on side AC of ΔABC. If P, Q, X, Y are the mid-point of AB, BC, AD and DC respectively, then the ratio of PX and QY is
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In ΔABC, ∠BAC = 90° and AB = BC, Then the measure of ∠ACB is :
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ABC is a right angled triangled, right angled at C and P is the length of the perpendicular from C on AB. If a, b and c are the length of the sides BC, CA and AB respectively, then
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If in a triangle, the orthocentre lies on vertex, then the triangle is
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The length of the three sides of a right angled triangle are (x - 2) cm, (x) cm and (x + 2) cm respectively. Then the value of x is
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The length of the two sides forming the right angle of a right angled triangle are 6 cm and 8 cm. The length of its circum-radius is :
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