Triangle Area and Properties

The video tutorial explains how to find the area of an isosceles triangle with given side lengths. It starts by setting up the problem and identifying the need to find the triangle's height. Using the Pythagorean theorem, the height is calculated by dividing the triangle into two right triangles. Once the height is determined, the area is calculated using the formula: base times height divided by two. The tutorial concludes with a call to action to subscribe for more math tutorials.

What type of triangle is discussed in the problem?

• Isosceles

• Scalene

• Right

• Equilateral

What are the lengths of the congruent sides of the triangle?

• 8 cm

• 14 cm

• 10 cm

• 12 cm

What is the length of the base of the triangle?

• 12 cm

• 10 cm

• 8 cm

• 6 cm

What is the formula for the area of a triangle?

• Base x Height

• Base x Height / 2

• Base + Height

• Base - Height

What information is missing to calculate the area of the triangle?

• Hypotenuse

• Height

• Perimeter

• Base

How is the isosceles triangle divided to find the height?

• Into two equilateral triangles

• Into two scalene triangles

• Into two obtuse triangles

• Into two right triangles

What is the length of half the base of the triangle?

• 4 cm

• 3 cm

• 5 cm

• 6 cm

Which theorem is used to find the height of the triangle?

• Pythagorean Theorem

• Sine Rule

• Area Theorem

• Cosine Rule

What is the value of the hypotenuse in the right triangle formed?

• 12 cm

• 10 cm

• 8 cm

• 6 cm

What is the calculated height of the triangle?

• 9 cm

• 6 cm

• 7 cm

• 8 cm