Triangles and Area Calculations

The video tutorial guides viewers through solving a PSA math 2023 question involving an isosceles triangle and a rectangle. It explains the relationship between pins and triangles, and how to calculate the length of XY and the area covered by triangles. The tutorial highlights common pitfalls and provides step-by-step solutions for both parts of the question.

What type of triangle is used in the PSA Math 2023 question?

• Right-angled

• Isosceles

• Scalene

• Equilateral

How many triangles fit along the breadth of the rectangle?

• Three

• Five

• Two

• Four

What is the relationship between the number of pins and triangles?

• Number of pins is twice the number of triangles

• Number of pins is equal to the number of triangles

• Number of pins is one more than the number of triangles

• Number of pins is one less than the number of triangles

How many pins are needed to put up three triangles?

• Four

• Six

• Five

• Three

What is the first step in solving Part A of the question?

• Find the area of the rectangle

• Subtract pins along the breadth

• Calculate the perimeter of the rectangle

• Add more triangles

How many pins are on one side of the rectangle after subtraction?

• Eleven

• Ten

• Nine

• Eight

How many triangles are along the length XY?

• Eight

• Ten

• Nine

• Seven

What is the base length of each triangle?

• 40 cm

• 35 cm

• 30 cm

• 45 cm

What is the length of XY?

• 340 cm

• 320 cm

• 360 cm

• 380 cm

How many triangles are there in total?

• 22

• 26

• 20

• 24