On a piece of paper, use a protractor to construct right triangle abc with ab=3 in. , m∠a=90° , and m∠b=45° .

AC = 3 in.

Step-by-step explanation:

It is given in the figure attached, in Δ ABC

∠ A = 90°

m∠B = 45°

AB = 3 in.

We have to find all sides of the triangle given

we will apply sine in Δ ABC to find the measure of AC

sinB =

Now by cross multiplication

BC = 3√2 in.

Now by Pythagoras theorem

BC²= AC² + AB²

(3√2)² = AC² + 3²

18 - 9 = AC²

AC = √9 = 3

Now we come to the options you have mentioned

AC = 3 in. is the correct answer.

AC=3 in, m∠C=45° and BC=3√2 in.

Step-by-step explanation:

Given information: ABC is a right angled triangle AB=3 in. , m∠A=90° , and m∠B=45° .

According to the angle sum property the sum of interior angles of a triangle is 180°.

The measure of angle C is 45°.

In a right angled triangle,

In triangle ABC,

Multiply both sides by 3.

The measure of AC is 3 in.

According to Pythagoras theorem,

Taking square root on both sides.

Therefore, the missing measurements are AC=3 in, m∠C=45° and BC=3√2 in.

here the number -5 is all of the following except a rational number.

step-by-step explanation:

m

step-by-step explanation: