# The two sides of the parallelogram are 6 and 5. From their common vertex to the other two sides

October 6, 2021 | education

| **The two sides of the parallelogram are 6 and 5. From their common vertex to the other two sides, the heights are lowered. The length of the smaller one is 4. Find the length of the other height.**

1. Vertices of the parallelogram A, B, C, D. Side CD = 5 units. Side AD = 6 units. BE = 4 units of measure – lower height (drawn to the AD side. ВK – higher height (drawn to the CD side)

2. Calculate the area (S) of the parallelogram:

S = AD x BE = 6 x 4 = 24 units².

3. We calculate the length of the height of the ВК using another formula for calculating the area of the parallelogram:

S = CD x ВK.

ВK = S: CD = 24: 5 = 4.8 units.

Answer: the length of the greater height of the ВК is 4.8 units of measurement.

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