What is the area of triangle QRS, in square units given the vertices - ProProfs Discuss

# What is the area of triangle QRS, in square units given the vertices of parallelogram QRST in the standard (x, y) coordinate plane below?

A. 24
B. 28
C. 48
D. 60
E. 80

This question is part of Coordinate Geometry Hard
Asked by Annacabral, Last updated: Aug 08, 2020

#### John F. connor

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John F. connor, Content Marketing executive, MA, Minsk,Poland

The correct answer to the above question is option A.

24 To calculate the area of triangle QRS, in the vertices of parallelogram in the image above, we need to determine the base and height of triangle QRS. The base QR = 6 (from -3 to 3) The height RS = 8 (from -5 to 3) Area of a triangle = ½ base height Therefore the area of triangle QRS = ½ 68 = 24 The area of QRS is 24 square units Hope this helps.

#### John Smith

John Smith

24

Area triangle = 1/2bh and the base is 6 units (from -3 to 3) and the height is 8 units (from -5 to 3). 1/268= 24 sq units