When a fact is declared to be a conclusive proof of

If O is the orthocentre of ΔABC , if ∠ BOC = 135⁰ then what is the measure of  ∠ BAC?

In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 24 cm². What is the area of ∆ADE in cm² ?

∆ABC and ∆DEF are similar and their areas are respectively 16 cm² and 64 cm ² . If EF = 6 cm BC is?

In a triangle ABC, AB = 13 cm, BC = 14 cm, and AC = 15 cm. Find the area of the triangle and the length of the altitude from vertex A to side BC.

If I is the incentre of ΔABC , if ∠ BIC = 120⁰ , then what is the measure of ∠ BAC?

In a ∆ ABC, the angle bisector of ∠A, ∠B, ∠C meet at point I, if ∠AIC is double of equilateral ∆ , then find the ∠ABC =? (in degree)

In Fig. if QT ⊥ PR, ∠ TQR = 40 ° and ∠ SPR = 30 ° , find x and y.        

If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 54 cm ² , then the area of ∆BGD is?

In ΔABC, PQ is parallel to BC If AP: PB=1:2 and AQ=3 cm, AC is equal to?

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm²) of triangle ABD?