Triangle Properties and Area Calculations

The video tutorial explains how to find the area of an isosceles triangle given three coordinates. It covers the use of the distance formula to find the base and height, the concept of the median, and the calculation of the area using the base and height. The tutorial emphasizes understanding the geometric properties and applying formulas correctly.

What type of triangle are we dealing with in this problem?

• Right-angled

• Scalene

• Isosceles

• Equilateral

What is the formula for finding the area of a triangle?

• Base divided by height

• Base times height

• Base plus height

• Base times height divided by two

Which part of the triangle is identified as the base?

• PR

• PQ

• QR

• None of these

What formula is used to find the length of the base?

• Pythagorean theorem

• Slope formula

• Midpoint formula

• Distance formula

From where is the height of the triangle drawn?

• From the base to the opposite vertex

• From the center to the base

• From a vertex to the midpoint of the opposite side

• From the midpoint to the base

What is the line called that goes from a vertex to the midpoint of the opposite side?

• Median

• Perpendicular

• Bisector

• Altitude

What is the first step in finding the height of the triangle?

• Measure the angle

• Calculate the area

• Find the midpoint of the base

• Use the Pythagorean theorem

What are the coordinates of the midpoint of QR?

• (7.5, 4.5)

• (4.5, 7.5)

• (6.5, 5.5)

• (5.5, 6.5)

What is the next step after finding the midpoint of the base?

• Calculate the area

• Find the length of the median

• Find the distance from P to the midpoint

• Draw the triangle

What is the length of the base QR?

• 4.2

• 5.2

• 3.2

• 6.2