Question

Match each side length and angle to the correct answer. Simplify anyradicals.a= b=measure of angle C =measure of angle A=measure of angle B=c=

Answer 1

Given data:

The given figure of the triangle.

The measure of the side a is,

a=4 units.

The measure of the side b is,

b= 4 units.

The measure of the angle C is 90 degrees.

As the side a is equal to side b, it means the given triangle is isosceles right angle triangle.

The measure of the angle B is equal to the measure of the angle A which is 45 degrees.

The side c can be calculated as,

`\begin{gathered} c^2=a^2+b^2 \\ c^2=4^2+4^2 \\ c^2=32 \\ c=4\sqrt[]{2} \end{gathered}`

Thus, a= 4 units, b=4 units, c=4√2, ∠C=90 degrees, ∠A= 45 degrees, and ∠B=45 degrees.