Question

45 degrees and 6 find each variable Will mark brainliest

Answer 1

Answer:

$x = y = 3\sqrt{ 2$

Step-by-step explanation:

Given

The attached triangle

Required

Find x and y

The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.

For this kind of parameter, the opposite = the adjacent

i.e. x = y

Apply Pythagoras theorem

$x^2 + y^2= 6^2$

Substitute x for y

$y^2 + y^2= 6^2$

$2y^2= 36$

Divide by 2

$y^2 = 18$

Take square root

$y = \sqrt{18$

$y = \sqrt{9 * 2$

Split

$y = \sqrt{9} *\sqrt{ 2$

$y = 3*\sqrt{ 2$

$y = 3\sqrt{ 2$

$x = y = 3\sqrt{ 2$