Question

can 6,8,11 be the lengths of the sides of a right angle triangle.Please answer fast

Answer 1

$\textbf{Given:}$

$\textsf{Sides of the given triangle are 6,8 and 11}$

$\textbf{To find:}$

$\textsf{Whether the given triangle is right angled or not}$

$\textbf{Solution:}$

$\underline{\textbf{Converse of pythagoras theorem:}}$

$\boxed{\begin{minipage}{9cm} \\\textsf{If square of one side of a right angled triangle is}\\\\\textsf{equal to sum of the square of the other two sides,}\\\\\textsf{then the angle contained by the two sides is right angled}\\ \end{minipage}}$

$\mathsf{Consider,}$

$\mathsf{6^2+8^2}$

$\mathsf{=36+64}$

$\mathsf{=100}$

$\mathsf{{\neq}11^2}$

$\mathsf{By\;converse\;of\;Pythagoras\;theorem,}$

$\textsf{6,8 and 11 cannot be lengths of a right angled triangle}$

$\textbf{Find more:}}$

The sides of a quadrilateral, taken in order are 5, 12, 14 and 15 metres respectively, and the angle contained by the first two sides is a right angle. Find its area.

https://brainly.in/question/15908199

Answer 2

Answer:

no 6,8,11 cannot be sides of right angled triangle

Step-by-step explanation: