When given a triangle of SAS use law of cosines to find the remaining parts

The video tutorial covers the process of drawing and labeling an isosceles triangle, converting angle measurements from degrees and minutes to decimal form, and applying the law of cosines to find missing side lengths. It also includes a step-by-step calculation of side lengths using cosine values and verifies the results using the law of sines.

What is the significance of labeling angles in an isosceles triangle?

• It helps in identifying equal angles.

• It determines the length of the sides.

• It is necessary for calculating the area.

• It is used to find the perimeter.

Why is it important to convert angles from degrees and minutes to decimal form?

• To change the triangle's shape.

• To simplify calculations.

• To increase accuracy.

• To make the triangle larger.

Why is the law of cosines used in this scenario?

• To calculate the perimeter.

• To find the area of the triangle.

• Because the triangle is not right-angled.

• Because the triangle is equilateral.

What is the formula for the law of cosines used in this section?

• B^2 = b^2 + c^2 - 2bc * cos(A)

• B^2 = a^2 + b^2 - 2ab * cos(C)

• B^2 = a^2 + c^2 - 2ac * cos(B)

• B^2 = c^2 + a^2 - 2ca * cos(A)

What is the result of the calculation for the side length B using the law of cosines?

• 56.93

• 180.00

• 32.00

• 125.66

How can the law of sines be used to verify the results?

• By comparing the ratios of side lengths to their opposite angles.

• By calculating the area of the triangle.

• By finding the perimeter of the triangle.

• By determining the type of triangle.

What alternative method can be used to find the angles in an isosceles triangle?

• Subtract the known angle from 180 and divide by 2.

• Add all angles and divide by 3.

• Use the Pythagorean theorem.

• Multiply the known angle by 2.