Question

Trigonometry, please answer

Answer 1

Answer:

$c=\sqrt{13}$

Step-by-step explanation:

Given right triangle ABC.

Measure of leg BC = $a=2$

Measure of leg AC = $b=3$

To find the hypotenuse AB = $c$

Solution:

Applying Pythagorean theorem.

$Hypotenuse ^2= Leg1^2 + Leg 2^2$

For the given triangle :

$AB^2=BC^2+AC^2$

$c^2=a^2+b^2$

Plugging in the given values.

$c^2=2^2+3^2$

$c^2=4+9$

$c^2=13$

Taking square root both sides.

$\sqrt{c^2}=\sqrt{13}$

∴ $c=\sqrt{13}$   (Answer)