Question

Hey guys can anyone help me find the missing side length pls and ty

Answer 1

Sense you have your answer already….

According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible.

Answer 2

`\bold{\huge{\green{\underline{ Solution}}}}`

`\bold{\underline{ Given :- }}`

• We have given a right angled triangle whose values are m, n and 2

`\bold{\underline{ To \: Find :- }}`

• We have to find the value of m and n

`\bold{\underline{ Let's \: Begin :- }}`

In the given right angled triangle, we have

• Perpendicular height = n units
• Base = 2 units
• Hypotenuse = m units

Now, By using trigonometric ratios

`\bold{\pink{ Sin Φ = }}{\bold{\pink{(Perpendicular )/(Hypotenuse)}}}`

`\bold{\red{ Cos Φ = }}{\bold{\red{(Base)/(Hypotenuse )}}}`

`\bold{\blue { tan Φ = }}{\bold{\blue{(Perpendicular )/(Base )}}}`

According to the question :-

`\bold{ Cos \: 45° = }{\bold{(2)/(m)}}`

`\bold{ 1/√2= }{\bold{(2)/(m)}}`

`\bold{\red{ m = 2√2 \: units }}`

• We know that , Sum of Angles of triangle is 180° .

Therefore,

Let the unknown angle be x

`\sf{ 45° + x + 90° = 180° }`

`\sf{ x = 180° - 135 ° }`

`\sf{ x = 45° }`

Now,

`\bold{ Cos \: x° = }{\bold{(n)/(2√2)}}`

`\bold{ Cos \: 45° = }{\bold{(n)/(2√2)}}`

`\bold{ 1/√2= }{\bold{(n)/(2√2)}}`

`\bold { n = 2√2/√2 }`

`\bold{\red{ n = 2\: units }}`

Thus, The value of m = 2√2 and n = 2

`\sf{\blue{ Hence, \: option \: D \: is \: Correct }}`