Solution And Properties Of Triangle
Internal bisector of ∠A of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent sides of ΔABC, then
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x2−c2=y then num radius of Δ is (A) 3y (B) 3c (C) 43y (D)43c
In a triangle PQR, P is the largest angle and cosP=31. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are)
In a triangle the sum of two sides is x and the product of the same is y. If x2−c2=y where c is the third side. Determine the ration of the in-radius and circum-radius
Point P is at a height of 25m from surface of lake. The angel of elevation from point P on a cloud is 30o and angle of depression of image of cloud in water is 60o then height of cloud from surface of lake is (A) 75 (B) 45 (C) 50 (D) 49
Consider a triangle ABCand let a,bandcdenote the lengths of the sides opposite to vertices A,B,andC, respectively. Suppose a=6,b=10,and the area of triangle is 153˙If ∠ACBis obtuse and if rdenotes the radius of the incircle of the triangle, then the value of r2is
Let ABCandABC′be two non-congruent triangles with sides AB=4,AC=ACprime=22and angle B=300. The absolute value of the difference between the areas of these triangles is