+0  
 
+1
78
1
avatar

If you could once again show me the steps for this question I would appreciate that a lot! I am almost done with this unit I just have to be sure I don't have to redo it, special thanks to Cphill for being persistant in helping me. Thank you!

Guest Apr 3, 2018

Best Answer 

 #1
avatar+7153 
+3

Since the sum of the angles in a triangle is  180°  and two of the angles are  90°  and  45°,

 

the measure of the third angle   =   180° - 90° - 45°

the measure of the third angle   =   45°

 

Since two of the angles in the triangle are 45°, it is an isosceles triange, and the sides opposite the 45° angles have the same length. So the unlabeled side has a length of  x .

 

Now we can use the Pythagorean theorem to find  x .

 

(leg)2 + (other leg)2   =   (hypotenuse)2

 

x2 + x2   =   102

 

x2 + x2   =   100

                               Combine like terms.

2x2   =   100

                               Divide both sides by  2 .

x2   =   50

                               Take the positive square root of both sides.

x   =   √50

                               Simplify the radical.

x   =   √[5 * 5 * 2]

 

x   =   5√2

hectictar  Apr 3, 2018
edited by hectictar  Apr 3, 2018
 #1
avatar+7153 
+3
Best Answer

Since the sum of the angles in a triangle is  180°  and two of the angles are  90°  and  45°,

 

the measure of the third angle   =   180° - 90° - 45°

the measure of the third angle   =   45°

 

Since two of the angles in the triangle are 45°, it is an isosceles triange, and the sides opposite the 45° angles have the same length. So the unlabeled side has a length of  x .

 

Now we can use the Pythagorean theorem to find  x .

 

(leg)2 + (other leg)2   =   (hypotenuse)2

 

x2 + x2   =   102

 

x2 + x2   =   100

                               Combine like terms.

2x2   =   100

                               Divide both sides by  2 .

x2   =   50

                               Take the positive square root of both sides.

x   =   √50

                               Simplify the radical.

x   =   √[5 * 5 * 2]

 

x   =   5√2

hectictar  Apr 3, 2018
edited by hectictar  Apr 3, 2018

9 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.