Respuesta :

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.


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

Answer:

Value of x is 7 units.

Step-by-step 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

[tex]\tan\angle BAC=\frac{Perpendicular}{Base}[/tex]

[tex]\tan 45=\frac{BC}{BA}[/tex]

[tex]1=\frac{7}{x}[/tex]

[tex]x=7[/tex]

By Pythagoras theorem

[tex]y^2=7^2+7^2=49+49=98[/tex]

[tex]y=\sqrt{98}=7\sqrt2units[/tex]

Hence, value of x is 7 units.

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