Construction of Triangles: Construction of a triangle when its Base, sum of other two sides and one base angle are Y
given:
X cm
Given: Base BC= a cm, AB+AC= x cm D
L
A
B
ө a cm
C
X
Steps of Construction: 1. Draw a ray BX and cut off a line segment BC= a cm from it. 2. Construction <XBY. 3. From BY cut off a line segment BD=x cm 4. Join C and D. 5. Draw the perpendicular bisector of CD, intersecting BD at a point A. 6. Join A and C. Then, ABC is the required triangle
Alternative Method:
cm
D
x
1. Now construction
Y
Z
B
A
a cm
X C
GOVT. MODEL. SENIOR. SECONDARY.SCHOOL. LADOWALI ROAD, JALANDHAR.