Find the missing side.
Answers
◉ 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
◉ Height of wall (QR) in meter.
According to the given points, diagram is in a shape of right angled triangle.
so, we use a formula to find our answer-
[In the given picture, QR is height, PQ is base and PR is hypotenious]
=> 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 ] ✓
Answer:
★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}}}}}
★Tofind
◉ Height of wall (QR) in meter.
\huge{\underline{\underline{\bf{\pink{★Solution}}}}}
★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★}}}}}
★FormulaUsed★
{\underline{\sf{\red{[Pythagoras\: theorem = > height ²\:+\:base² = \: hypotenious ²]}}}}
[Pythagorastheorem=>height²+base²=hypotenious²]
[In the given picture, QR is height, PQ is base and PR is hypotenious]
{\underline{\bf{\pink{Substituting\:values\:in\: theorem}}}}
Substitutingvaluesintheorem
=> 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 ] ✓