Question

NEED HELP. PLEASE EXPLAIN.

Answer 1

see explanation

Explanation:

Using the exact values

sin45° = cos45° =
`(1)/(√(2) )`

Since the triangle is right use the sine/cosine ratios, that is

sin45° =
`(TU)/(TV)` =
`(TU)/(9√(2) )`

Multiply both sides by 9
`√(2)`

9
`√(2)` ×
`(1)/(√(2) )` = TU, hence

TU = 9

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cos45° =
`(UV)/(TV)` =
`(UV)/(9√(2) )`

Multiply both sides by 9
`√(2)`

9
`√(2)` ×
`(1)/(√(2) )` = UV, hence

UV = 9

Since TU = UV = 9 , then triangle is isosceles

and ∠T = ∠V = 45°