In a 45°-45°- 90° triangle, if the legs each have a length of 4, then what is the length of the hypotenuse?

Education & Reference by Anonymous 2018-05-27 00:09:25

Social Science

5 answers

A. the square root of2 B. 4the square root of2 C. 4 D. 4the square root of3

Anonymous

You don't need to know the angles. Just use Pythagoras: 4^2 + 4^2 = h^2 16 + 16 = h^2 h^2 = 32 h = Sq rt 32 = 4 sq root 2
Anonymous

4√2
Anonymous

The sq root of 32 = root (16 x 2) = 4 root 2 So the answer is B
Anonymous

c² = a² + b² c² = 4² + 4² c² = 2 * 4² c² = 4² * 2 Take the square root of both sides c = 4√2 <––––––– Answer B http://goo.gl/y49sTR
Anonymous

SOHCAHTOA or A squared = B squared + C Squared, since you have a 90 degree angle.