Question

The sides of a triangle are in the ratio 3: 4: 5: State whether the triangle is right-angled or not​

Answer 1

Yes , it is a right angled triangle !

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$\huge{\underline{\underline{Therory→}}}$

• Any triangle whose sides are in the ratio 3:4:5 is a right triangle. Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples. ...
• If you multiply the sides by any number, the result will still be a right triangle whose sides are in the ratio 3:4:5.

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$\huge{\underline{\underline{\red{Proof →}}}}$

$\begin{gathered}\begin{gathered}\pink{ \frak{Given}} \begin{cases} \sf \: Hypotenuse\:= 5\: cm\: \\ Base \: = \: 3 \: cm \\ Perpendicular \: =\: 4 \: cm \sf \end{cases} \\ \\\end{gathered}\end{gathered}$

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FORMULA :-

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: H^2 \:=\: P^2 \: + \: B^2}} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\\ : \implies \displaystyle \sf \: {5}^{2} \: = \: {4}^{2} \: + \: {3}^{2} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\\ : \implies \displaystyle \sf \: 25 \: = \: 16 \: + \: 9 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: 25\: = \: 25}} }\\ \\\end{gathered}\end{gathered}$

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HENCE, PROVED

Answer 2

Answer:

Mark thebrainlykapil's answer as brainliest plz...

Step-by-step explanation: