Question

Use a special right triangle to find the value of x. Write your answer as a decimal rounded to the nearest tenth.

Answer 1

Observe that the the Missing Angle in the Triangle is $45\degree$

Hence, it is an Isosceles-Right Triangle,

Therefore, the Perpendicular and Base must be Equal to $x$

By Using Pythagorus Theorem,

${x}^{2} + {x}^{2} = {6}^{2} \\ 2 {x}^{2} = 36 \\ {x}^{2} = 18 \\ x = \sqrt{18} \approx 4.2$