Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.

Question

Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.

Given:right △XYZ with m∠X = 45° and XZ = 7Find:YZ and XY

simplest radical form YZ=

 

approximationYZ=

simplest radical form XY=

 

approximation XY=

Answer 1

This is 45-45-90 right triangle because m<Y must be 45. YZ = XZ = 7 because the sides opposite the 45 degree angles are equal. XY = 7radical2 because the hypotenuse is radical 2 times the sides opposite the 45 degree angle.