Solution of Triangles questions
453 published questions with worked solutions.
- ABCD is a trapezium such that AB and CD are parallel and BC ⊥ CD. If ∠ADB = θ, BC = p and CD = q, then AB is equal to -Not in JEE syllabus
- Let A, B and C be the angles of a triangle with ( A 2 )= 13 and ( B 2 )= 23. Then ( C 2 ) is equal toNot in JEE syllabus
- In a triangle ABC, if A-B=120^ and A 2 B 2 C 2 = 1 32 , then the value of 8 C is ____.Not in JEE syllabus
- A circle inscribed in a triangle ABC touches the side AB at D such that AD=5 and BD=3. If A=60^ , then the value of [BC/3] (where...Not in JEE syllabus
- In triangle ABC, A B+ B C+ C A=9/4 and a=2. Then the value of 3 , where is the area of the triangle, is ____.Not in JEE syllabus
- In ABC, C=2 A and AC=2BC. Then the value of a^2+b^2+c^2 R^2 (where R is the circum-radius of the triangle) is ____.Not in JEE syllabus
- The sides of triangle ABC satisfy the relations a+b-c=2 and 2ab-c^2=4. Then the square of the area of the triangle is ____.Not in JEE syllabus
- In ABC, if C=3 A, BC=27 and AB=48, then the value of AC/7 is ____.Not in JEE syllabus
- Consider a ABC in which the sides are a=(n+1), b=(n+2), c=n with C=4/3. Then the value of /12 is ____.Not in JEE syllabus
- The area of a right triangle is 6864 square units. If the ratio of its legs is 143:24, then the value of [r/4], where r is the...Not in JEE syllabus
- In ABC the incircle touches the sides BC, CA and AB respectively at D, E and F. If the radius of the incircle is 4 units and BD,...Not in JEE syllabus
- In ABC, if A+ A- 2 B+ B =0, then the value of ( a+b c )^4 is ____.Not in JEE syllabus
- In ABC, AB=52, BC=56, CA=60. Let D be the foot of the altitude from A, and E be the intersection of the internal angle bisector...Not in JEE syllabus
- In ABC, if r=1, R=3 and s=5, then the value of a^2+b^2+c^2 3 is ____.Not in JEE syllabus
- The altitudes from the angular points A, B and C on the opposite sides BC, CA and AB of ABC are 210, 195 and 182 respectively....Not in JEE syllabus
- The lengths of the tangents drawn from the vertices A, B and C to the incircle of ABC are 5, 3 and 2 respectively. If the lengths...Not in JEE syllabus
- If A_1A_2A_3A_4A_5 is a regular pentagon inscribed in a unit circle, then (A_1A_2)(A_1A_3) is equal toNot in JEE syllabus
- If the angles of a triangle are in AP with common difference equal to 13 of the least angle, then the sides are in the ratioNot in JEE syllabus
- If in a triangle ABC, b+c=3a, then ( B 2 ) ( C 2 ) is equal toNot in JEE syllabus
- The area of a circle and the area of a regular polygon of n sides with perimeter equal to that of the circle are in the ratioNot in JEE syllabus
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