Question

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

Answer 1

8 cm

Explanation:

Answer 2

`\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 = √(64)}}`

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

• Hence , The length of QR is 8 cm .

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