Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Find the missing side of the triangle. I'll mark brainiest please help!

Find The Missing Side Of The Triangle Ill Mark Brainiest Please Help class=

Sagot :

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]

I am joyous to assist you at any time.

[tex] \huge \underline\text{ Hello There}[/tex]

[tex] \text{We know, Pythagoras Theorem}[/tex]

[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]

[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]

[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]

[tex] \huge \underline\text \red {Solution}[/tex]

[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]

[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]

[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]