Question

Construct ∆XYZ in which YZ = 8 cm, ∠Y = 75° and XY + XZ = 11.6cm. ​

Answer 1

Step-by-step explanation:

Solution

Given xy+yz+zx=10cm,∠y=30

∘

,∠z=60

∘

Step 1 :- Draw a line segment AB

AB=xy+yz+zx

Step 2 :- make angle 30

∘

that is ∠y=30

∘

from point A.

Step 3 :- make angle ∠z=60

∘

from point B

Step 4 :- Draw bisector of ∠LAB & ∠MBA

these bisect at x.

Step 5 :- Draw ⊥er bisector from XA which intersect

AB at y.

Step 6 :- Draw ⊥er bisector from XB which is also

intersect AB at z.

Step 7 :- Join xy & xz.

∴△xyz is required and is formed.