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Scilla [17]
2 years ago
7

Find the missing sides from the right-angled triangled given below

Mathematics
2 answers:
umka21 [38]2 years ago
6 0

Answer:

8 cm

Step-by-step explanation:

Ksenya-84 [330]2 years ago
4 0

\large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION}} :

  • We're provided : In right angled triangle PQR , The length of of PR & length of PQ are 10 cm & 6 cm respectively & we're asked to find out the length of OR.

  • You need to know : The longest side, which is the opposite side of right angle is the hypotenuse ( h ) . When the reference angle is not given , You can assume the remaining sides either perpendicular ( p ) or base ( b ) .

  • Here , Hypotenuse ( h ) = 10 cm , Base ( b ) = ? & Perpendicular ( P ) = 6 cm

  • Before solving, You will have to know : The square of the hypotenuse of a right - angled triangle is equal to the sum of square of the remaining two sides.

\large{ \tt{❁ \: LET'S\: START}} :

\boxed {\large{ \bf {\:  ♕ \: {h}^{2} =  {p}^{2} +  {b}^{2}   }}}

- Plug the known values and then simplify !

\large{ \tt{ ↦ \: {10}^{2}  =  {6}^{2}  +  {b}^{2} }}

\large{ \tt{↦100 = 36 +  {b}^{2} }}

\large{ \tt{↦36 +  {b}^{2}  = 100 }}

\large{ \tt{ ↦{b}^{2}  = 100  - 36}}

\large{ \tt{↦ {b}^{2}  = 64}}

\large{ \tt{↦b =  \sqrt{64}}}

\boxed{ \large{ \tt{↦ \: b = 8 \: cm}}}

  • Hence , The length of QR is 8 cm .

✺ Raise you hand and clear your doubts , the bullies at the last benches and the nerds at the first benches are not going to write your exam , it doesn't matter what class will think about you!

♡ Hope I helped! ツ

♨ Have a wonderful day / evening! ☼

# StayInAndExplore ! ☂

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