Question

construct an equilateral triangle xyz in which x is equal to 90 degree X Y is equal to 5 cm and by that is equal to 7 cm​

Answer 1

Answer:

Answer

⇒  Draw a line segment WX=7cm

⇒  Construct an angle of 90∘ at points W and X.

⇒  Cut off WZ=4cm and XY=4cm

⇒  Join YZ and WY

⇒  Thus, WXYZ is a required rectangle.

⇒  We know that all four angles in rectangle is 90∘.

⇒ In right angled △WXY

⇒  WY2=WX2+XY2           [Pythagoras theorem]

⇒  WY2=72+42

⇒  WY2=49+16

⇒  WY2=65

⇒  WY=65cm

∴  Length of diagonal is 65cm