4. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
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Answer:
13 cm
Step-by-step explanation:
If the base of parallelogram is 28 cm, the base of triangle is too 28 cm (as stated). So obviously its height is 26 cm. So its area is 364 cm².(28 * 26 * ½)
In the parallelogram, base * height is area.
So area/base = height.
Area of parallelogram is too 364 cm² (as stated).
So 364/28 = 13.
Hence the height of the parallelogram is 13 cm .
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