The cost of polishing a triangular table top at 280 per m² is 448. Find the altitude of the table top if the base is 400 cm.
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Answer:
Step-by-step explanation:
The altitude of the tabletop is 0.8 m.
Step-by-step explanation:
The cost of polishing a triangular tabletop is Rs. 448 at the rate of Rs. 280 per square meter.
Therefore, the area of the triangular tabletop is \frac{448}{280} = 1.6 square meters.
Now, if the base of the triangular top is 400 cm i.e. 4 meters and height of this is h m. then we can write
\frac{1}{2} \times 4 \times h = 1.6
⇒ h = 0.8 m
Therefore, the altitude of the tabletop is 0.8 m. (Answer)
or
area of triangle =448/280
altitude =400cm=4m=h
1/2×4×h=448/280
altidude=0.8m=80cm
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