Two sides of a triangle are 0.5 cm and 3 cm. Find length of median
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Answer:
Step-by-step explanation:
We know that sum of two sides of triangle is aways greater than third side.
∴BC<AB+AC
And AB +BC>AC
⇒BC>AC−AB
Therefore, AC−AB < BC < AB+AC
⇒3−0.5<BC<3+0.5
⇒2.5<BC<3.5
As, the length of BC is integral value
Therefore, BC=3 cm
∴a=3 cm, b=3 cm and c=0.5 cm
Therefore length of median from vertex A is
,ma=2b2+2c2−a24−−−−−−−−√=2(3)2+2(0.5)2−(3)24−−−−−−−−−−−−√=18+0.5−94−−−−−−−√=9.54−−−√=2.375−−−−−√=1.54 cm
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