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Use your trigonometry knowledge to answer the following question.

ABC is a right angled triangle. if
B=90^(@),AC=96cm,C=30^(@).

AB=
◻
cm

Type your answer into the box. $\newline$ Use your trigonometry knowledge to answer the following question. $\newline$ $A B C$ is a right angled triangle. if $B=90^{\circ}, A C=96 \mathrm{~cm}, C=30^{\circ}$ . $\newline$ $A B=$ $\square$ $\mathrm{cm}$

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Write variable expressions for geometric sequences

Full solution

Q. Type your answer into the box.

\newline

Use your trigonometry knowledge to answer the following question.

\newline

A B C

is a right angled triangle. if

B=90^{\circ}, A C=96 \mathrm{~cm}, C=30^{\circ}

.

\newline

A B=

\square

\mathrm{cm}

Triangle Angle Calculation: Since triangle $ABC$ is right-angled at $B$ and angle $C$ is $30$ degrees, angle $A$ must be $60$ degrees because the angles in a triangle add up to $180$ degrees.
$30$ $-60$ $-90$ Triangle Property: In a $30$ - $60$ - $90$ right triangle, the side opposite the $30$ -degree angle ( $AC$ ) is half the length of the hypotenuse ( $AB$ ). So, $AB$ should be twice the length of $AC$ .
Calculation of AB Length: $AC$ is given as $96\,\text{cm}$ . So, $AB$ should be $2 \times 96\,\text{cm} = 192\,\text{cm}$ .

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