Median

In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°.

Calculate the length of the median to side b (tb).

Final Answer:

t2 =  11.66 cm

Step-by-step explanation:

a=10 cm t1=13 cm γ=90   b2 = ta2 (a/2)2 b=t12(a/2)2=132(10/2)2=12 cm  t22 = a2 + (b/2)2 t2=a2+(b/2)2=102+(12/2)2=2 34=11.66 cm

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