Question

Please someone help!!

Answer 1

14√2.

Explanation:

This is a 45-45-90 triangle so the ratio of the sides is 1:1:√2. ( By the Pythagoras theorem).

so b / 28 = 1 / √2

√2 b = 1*28

b = 28 / √2

= 28√2 / 2

= 14√2 answer.

Answer 2

b = 14
`√(2)`

Explanation:

Since the triangle is right use the cosine ratio to find b

cos45° =
`(adjacent)/(hypotenuse)` =
`(b)/(28)`

Multiply both sides by 28

28 × cos45° = b

28 ×
`(√(2) )/(2)` = b ( cancel the 28 and 2 )

b = 14
`√(2)`