Question

4. Which of the following can be the sides of a night
triangle?
1. 2.5cm , 6.5 cm , 6 cm

Answer 1

$\huge{\colorbox{pink}{ Answer }}$

4. Which of the following can be the sides of a night

triangle?

1. 2.5cm , 6.5 cm , 6 cm

As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

$(Hypotenus)^2=(Base)^2+(Perpendicular)^2 \\ </p><p></p><p>(i) \small 2.5\hspace{1mm} cm, \small 6.5\hspace{1mm} cm, 6 cm.</p><p></p><p> \\ As \: we \: know \: the \: hypotenuse \: is \: the \: longest \: side \: of \: the \: triangle, \\ So \: Hypotenuse = 6.5 cm \\ </p><p></p><p>Verifying \: the \: Pythagoras \: theorem, \\ </p><p></p><p> (6.5)^2=(6)^2+(2.5)^2</p><p></p><p>42.25=36+6.25</p><p>42.25=42.25$

Hence it is a right-angled triangle.

The Right-angle lies on the opposite of the longest side (hypotenuse) So the right angle is at the place where 2.5 cm side and 6 cm side meet.

Answer 2

4. Which of the following can be the sides of a night

triangle?

1. 2.5cm , 6.5 cm , 6 cm