Question

*Find the length of the hypotenuse of a right angled triangle if remaining sides are 10 cm and 24 cm.* 1️⃣ 26 cm 2️⃣ 28 cm 3️⃣ 30 cm 4️⃣ 32 cm


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Answer 1

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.

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

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

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

Answer 2

Answer:

26 cm

Step-by-step explanation:

I hope it's help you