Question

Construct an traingle , in which angle Y is 58 degree , angle X is 46 degree and primeter of traingle is 10.5 cm.​

Answer 1

Step-by-step explanation:

Steps of construction:

(1) Draw seg PQ of 10.5cm length.

(2) Draw a ray making angle of 29

∘

at point P.

(3) Draw another ray making an angle of 23

∘

at point Q.

(4) Name the point of intersection of the two rays as Z.

(5) Draw the perpendicular bisector of seg PZ and seg QZ.

Name the points as Y and X respectively where the perpendicular bisectors intersect line PQ.

(6) Draw seg XZ and seg YZ.

Therefore, ΔXYZ is the required triangle.

solution

Answer 2

Answer:

Steps of construction:

i: Draw a line segment QR of 10.5cm.

ii: From point Q draw a ray QD at 58° and from R draw a ray RE at 46°

iii: Draw an angle bisector of Q and R, two angle bisectors intersect each other at point X.

iv: Draw a line bisector of QX and XR respectively these two-line bisectors intersect at point Y and Z

v: Join XY AND XZ.

vi: Δ XYZ is required triangle