Question

Construct the right-angle triangle XYZ in which YZ = 4 cm and sum of other two sides is 8 cm.​

Answer 1

Step-by-step explanation:

Steps of construction

(1) Draw seg YZ of length 4 cm.

(2) Draw ray YP such that

mÐ PYZ = 90°.

(3) Mark point D on ray YP such

that d(Y,D) = 8 cm

(4) Draw seg DZ.

(5) Construct the perpendicular

bisector of seg DZ .

(6) Name the point of intersection

of ray YP and the perpendicular

bisector of ZD as X.

(7) Draw seg XZ.

XYZ is the required triangle.