Back to Use distance formula for area — Problem 5 · Task Set 32

Exercises: Compute Perimeters and Areas Using Coordinates

Show all work for each problem. Express exact answers using radical form unless a decimal approximation is requested. Label every answer with correct units.

Grade 10·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-7

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Fluency Practice

Apply the distance formula and area formulas to each figure.

$Triangle PQR with horizontal base PQ at y=2 and apex R at (4,8), showing height h from R to PQ.$

Triangle $PQR$ has vertices $P(1, 2)$ , $Q(7, 2)$ , and $R(4, 8)$ .
What is the area of triangle $PQR$ ?