how to make a triangle when base (one side ) , base angle and difference of remaining sides are given
Answers
Step-by-step explanation:
CONSTRUCT SCALENE TRIANGLE WHEN THE BASE, ONE BASE ANGLE AND THE SUM OF THE LENGTHS OF THE OTHER TWO SIDES ARE GIVEN - DIAGRAM
concept
Draw the base BC and at the point B make an angle, say XBC equal to the given angle.
Cut a line segment BD equal to AB + AC from the ray BX.
Join DC and make an angle DCY equal to BDC.
Let CY intersect BX at A
ABC is the required triangle.
CONSTRUCT SCALENE TRIANGLE WHEN THE BASE, ONE BASE ANGLE AND THE DIFFERENCE BETWEEN THE LENGTHS OF THE OTHER TWO SIDES ARE GIVEN - DIAGRAM
concept
Case 1: Let AB > AC that is AB AC is given
Draw the base BC and at point B make an angle say XBC equal to the given angle.
Cut the line segment BD equal to AB AC from ray BX.
Join DC and draw the perpendicular bisector, say PQ of DC.
Let it intersect BX at a point A. Join AC.
Case 2: Let AB < AC that is AC AB is given
Draw the base BC and at point B make an angle say XBC equal to the given angle.
Cut line segment BD equal to AC AB from theline BX extended on opposite side of line segmentBC.
Join DC and draw the perpendicular bisector, sayPQ of DC.
Let PQ intersect BX at A. Join AC