The area of triangle XYZ is 48 cm². Its height is 8 cm. A second triangle PQR has the same area as XYZ, but its base is twice as long as XYZ's base. What is the height of triangle PQR?
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Worked Solution
Step 1: Find the base of triangle XYZ.
½ × base × 8 = 48
base × 8 = 96
base of XYZ = 12 cm
Step 2: Find the base of triangle PQR.
Base of PQR = 2 × 12 = 24 cm
Step 3: Find the height of triangle PQR.
½ × 24 × h = 48
12h = 48
h = 4 cm
Correct answer: 4 cm
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