Question

in triangle ABC, < A is the right angle, and m< B =45. find BC. if your answer is not the whole number, leave it in the simplest radical form

Answer 1

`\measuredangle B=45,\text{ }\measuredangle A=90,\text{ }\measuredangle C=45`
`AC=11,\text{ BC=?}`
`\sin (\measuredangle B)=(AC)/(BC)`
`\sin (45)=(11)/(BC)`
`\frac{\sqrt[]{2}}{2}=(11)/(BC)`
`BC=\frac{11\cdot2}{\sqrt[]{2}}`
`BC=11\sqrt[]{2}`