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In a ∆PQR, ∠Q : ∠R = 6 : 5 and I and O are the incentre and orthocentre of ∆PQR whereas I1 is the incentre of ∆QIR. If ∠QI1R = 147°, then what is the ratio of the measure of ∠POR to the measure of ∠PIQ?
In ΔABC, ∠A = 90° and radius of the in-circle of the ΔABC is 3 cm and BC = 17 cm, then, what is the area (in sq. cm) of the ΔABC?
The perimeter of ΔABC and ΔDEF are 39.6 cm and 26.4 cm, respectively, and ΔABC ~ ΔDEF. What is the ratio of the areas of ΔABC and ΔDEF?
In a triangle ABC, incentre is O and ∠BOC = 110°, then the measure of ∠BAC is:
Which of the following given statement(s) is / are TRUE? In a ∆ABC, ∠A = 70° and I, O, H and X are incentre, circumcentre, orthocentre, and ex-centre of triangle, respectively. A: ∠BIC = 105° B: ∠BOC = 140° C: ∠BHC = 120° D : ∠BXC = 55°
AB is a line and a point O lies on it. A ray OC is drawn taking a point C not lying on line AB. Then, which of the following statement(s) is/are true? (a) ∠AOC and ∠BOC form a linear pair. (b) ∠AOB and ∠BOC are adjacent angles.
ABCD is a rectangle and O is point inside the rectangle. Point O joins all four vertices of the rectangle. Which statement(s) is/are wrong? A) Sum of area of △AOB and △DOC is equal to sum of area of △BOC and △AOD B) Sum of area of △AOB and △DOC is half the area of rectangle. C) Sum of area of △BOC and △AOD is half the area of rectangle.
If I be the incentre of ΔABC and ∠B = 70° and ∠C = 50°, then the magnitude of ∠BIC is
Which of the following statements is/are true? A: If in ΔABC, O is the orthocenter of the circle, then ∠BOC will be (90 + ∠BAC). B: Each side of an equilateral triangle is 2/√3 times of its height. C: If two transversal lines cuts two parallel lines ‘L’ at A and B and ‘M’ at C and D. If the two transversal lines cut each other at O somewhere between two parallel lines, then ΔAOB and ΔCOD will be similar.
I is the incentre of ΔABC, ∠ABC = 60° and ∠ACB = 50°, Then ∠BIC is