Question

Find x.

x =

7
7√2
√(14)

Answer 1

so is a righ-triangle, one angle is 90°, another is 45°, and the other hmmmmm well, the last one must be 45° as well.

now to make it short, both 45° angles make equal opposite sides, namely x = 7.

`\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=√(a^2+b^2) \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{7}\\ \end{cases} \\\\\\ y=√(7^2+7^2)\implies y=√(2(7^2))\implies y=7√(2)`

Answer 2

Value of x is 7 units.

Explanation:

Given a right angled triangle in which length of perpendicular is given i.e of 7 units.

we have to find the value of x

By trigonometric formulas

`\tan\angle BAC=(Perpendicular)/(Base)`

`\tan 45=(BC)/(BA)`

`1=(7)/(x)`

`x=7`

By Pythagoras theorem

`y^2=7^2+7^2=49+49=98`

`y=√(98)=7\sqrt2units`

Hence, value of x is 7 units.