Question

Find x.

See attached picture for question.

Answer 1

x = 4

Explanation:

hypotenuse will be called z

pythagorean theorem

x^2 + y^2 = z^2

pythagorean theorem in reverse

4√2 is (√4*4*2) is √32

x^2 + y^2 = (√32)^2

x^2 + y^2 = 32

third angle is 45

means x and y are equal

what 2 equal numbers add to 32

16

if x^2 = 16

then x = 4

since x and y are equal

y = 4

this is a special right triangle

it's sides are x , x & x√2

so even if the sides are 5 & 5, the hypotenuse will be 5√2

math monks