Find the length of AC on this triangle

Mathematics

1 answer:

Illusion [34]2 years ago

4 0

Answer:

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan12° = $\frac{opposite}{adjacent}$ = $\frac{AC}{BC}$ = $\frac{AC}{44}$ ( multiply both sides by 44 )

44 × tan12° = AC , then

AC ≈ 9.35 ( to 2 dec. places )

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What is the length of the hypotenuse of the triangle when x=14

astra-53 [7]

The length of the hypotenuse will be equal to H=122.25 when value of x=14.

<h3>What is pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

It is given that:

Value of x=14

The perpendicular is =6x+5=6x14+5=89

The base is =6x=84

So by using the Pythagorean theorem:-

$H^2=P^2+B^2\\\\\\H^2=89^2+84^2\\\\\\H=\sqrt{89^2+84^2}\\\\\$