Question

Identify the missing sides.

45°
20
:: 10
:: 20
1/2
:: 202
10/3
:: 20/3

Answer 1

see explanation

Explanation:

Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value

sin45° =
`(1)/(√(2) )` , then

sin45° =
`(opposite)/(hypotenuse)` =
`(20)/(h)` =
`(1)/(√(2) )` ( cross- multiply )

h = 20
`√(2)`

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Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then

tan45° =
`(opposite)/(adjacent)` =
`(20)/(x)` = 1 ( multiply both sides by x )

x = 20