Question

Find the missing part.

Answer 1

a² + b² = c²

x² = 8² + 10²

x² = 64 + 100

x² = 164

x = √164

x = 2√41

Answer: x = 2√41

Answer 2

`x=2√(41)`

`y=39^\circ`

`z=51^\circ`

Explanation:

In the given right angle triangle.

Using pythagoreous theorem,

`a^2+b^2=c^2`

where, a=8, b=10 and c=x

`8^2+10^2=x^2`

`64+100=x^2`

`x=√(164)`

`x=2√(41)`

Using trigonometry formula:

`\tan y=(8)/(10)`

`y=\tan^(-1)(0.8)`

`y=39^\circ`

`\tan z=(10)/(8)`

`z=\tan^(-1)(1.25)`

`z=51^\circ`