1.

Find the missing side.

Answer»

\huge{\underline{\underline{\bf{\pink{★Given}}}}}

◉ LENGTH of ladder, PR is 10m

◉ Length of ground, PQ is 6m

◉ Length of wall, QR is h

◉ PQ is horizontal and QR is vertical

\huge{\underline{\underline{\bf{\pink{★To \:find}}}}}

◉ HEIGHT of wall (QR) in meter.

\huge{\underline{\underline{\bf{\pink{★Solution}}}}}

According to the given points, diagram is in a shape of right angled triangle.

so, we use a formula to find our answer-

\huge{\underline{\underline{\bf{\blue{★Formula\: Used★}}}}}

{\underline{\sf{\red{[Pythagoras\: theorem => height ²\:+\:base² = \: hypotenious ²]}}}}

[In the given PICTURE, QR is height, PQ is BASE and PR is hypotenious]

{\underline{\bf{\pink{Substituting\:values\:in\: theorem}}}}

=> height²+ base² = hypothesis²

=> h² + 6² = 10²

=> h² + 36 = 100

=> h² = 100-36

=> h² = 64

=> h = √64

=> h = 8m

[Hence, height of wall ( QR) is 8m ] ✓


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