Question

Find the length of the hypotenuse of a right angled triangle if remaining sides are 10 cm and 24 cm.​

Answer 1

Answer:

Given:

• One side of right angle traingle = 10cm
• Other side = 24cm

Find:

• Hypotenuse?

Solution:

In a right angle triangle, Square of hypotenuse is equal to sum of squares of other two sides. The longest side is called as hypotenuse. The angle opposite to hypotenuse is right angle.

${ \boxed{ \sf{Hypotenuse² = Opposite² + Adjacent²}}}$

$: { \implies{ \sf{Hypotenuse² = {10}^{2} + {24}^{2} }}} \\ \\ : { \implies{ \sf{Hypotenuse² =100 + 576 }}} \\ \\ : { \implies{ \sf{Hypotenuse² =676 }}} \\ \\ : { \implies{ \sf{Hypotenuse = \sqrt{676} }}} \\ \\ : { \implies{ \sf{Hypotenuse = 26}}}$

$\therefore{ \sf{ \underline{ \red{Hypotenuse = 26cm}}}}$

Answer 2

Answer:

$\huge \mathfrak\fcolorbox{pink}{lavenderblush}{Answer♡}$

Using Pythagoras Theorem :-

Given -

10 cm ( Base )

24 cm ( Height )

( Hypo. )² = ( Base )² + ( Height )²

⟹ ( Hypo. )² = ( 10 cm )² + ( 24 cm )²

⟹ ( Hypo. )² = 100 cm + 576 cm

⟹ ( Hypo. )² = 676 cm

⟹ ( Hypo. ) × ( Hypo. ) = 26 cm × 26 cm

Hypotenuse = 26 cm