WebIf the length of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is. 10 cm. 8 cm. 7.5 cm. 6 cm WebABC is a triangle in which ∠A= 72∘, the internal bisectors of angles B and C meet in O. Find the magnitude of ∠BOC. Solution In ΔABC,∠A= 72∘ and bisectors of ∠B and ∠ C meet at O. Now ∠B+∠C = 180∘−72∘ =108∘ ∵ OB and OC are the bisectors of ∠B and ∠C respectively ∴ ∠OBC+∠OCB= 1 2(∠B+∠C) = 1 2×108∘ =54∘ But in ΔOBC, ∴ ∠OBC+∠OCB+∠BOC= 180∘
ABC is a triangle. The bisectors of the internal angle ∠B and …
WebJun 29, 2024 · In a ∆ABC, it is given that AD is the internal bisector of ∠A. If AB = 10cm, AC = 14cm and BC = 6cm, then CD = ? (a) 4.8cm (b) 3.5cm (c) 7cm (d) 10.5cm triangles class-10 1 Answer +1 vote answered Jun 29, 2024 by Gavya (33.5k points) selected Jul 6, 2024 by Hailley Best answer By using angle bisector in ∆ABC, we have AB/AC = BD/DC ⇒ 10/14 = 6 … WebArea of Equilateral Triangle $= \frac{\sqrt{3}a^2}{4} square units. Using Heron’s Formula. When the lengths of the three sides of the triangle are known, Heron’s formula is used to … bridgewater state psychology
In a triangle ABC the internal bisector of the angle A …
WebFeb 2, 2024 · The angle bisector of the triangle ABC intersects side BC at point D. As mentioned in the picture below. Interior Angle Bisector Theorem According to angle bisector theorem, the ratio of the line segment BD to DC equals the ratio of the length of the side AB to AC BD DC = AB AC B D D C = A B A C WebThe angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle. Contents Definition Proof of Angle Bisector Theorem Using the Angle Bisector Theorem WebAug 1, 2024 · Interior Angle Bisector Theorem. The internal angle bisector in the given triangle divides the opposite side internally in the ratio of the sides including the vertical angle. Consider the below image, here for the triangle ABC, AD is the internal bisector that meets BC at D and internally bisects the ∠BAC. can we lock folder in laptop