[tex]\sf\pink{c\:=\:45\:kilometres}[/tex] ✅
Step-by-step explanation:
[tex]\sf\purple{Using\:Pythagoras\:theorem, \:we \:have}[/tex]
[tex] ({Perpendicular})^{2} + ({Base})^{2} = ({Hypotenuse})^{2} \\ ➪\:( {36 \: km})^{2} + ({27 \: km})^{2} = {c}^{2} \\ ➪ \: {c}^{2} = 1296 \: {km}^{2} + 729 \: {km}^{2} \\ ➪ \: {c}^{2} = 2025 \: {km}^{2} \\ ➪ \: c \: = \sqrt{ {2025 \: km}^{2} } \\ ➪ \: c \: = 45 \: km[/tex]
[tex]{\boxed{\mathcal{\red{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:45\:km.}}}}[/tex]
[tex]\boxed{Note:-}[/tex]
- Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides."
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
