Question

Given that D is the midpoint of AB and E is the midpoint of AC, find the value of X

Answer 1

Answer:

hey here is your answer

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so here we go

Step-by-step explanation:

now as e and d are midpoints of seg ac and ab respectively

we can apply midpoint theorem

so thus de is parallel to bc and de=half of bc

so here de=4x-6 and bc=7x+8

so accordingly

4x-6=1/2×7x+8

so 2(4x-6)=7x+8

ie 8x-12=7x+8

ie x=8+12

so x=20

this value of x is 20

u can verify the answer by substituting value of x in missing terms if de=1/2×bc ie lhs=rhs

our answer is ryt then

so (4×20)-6=1/2×(7×20)+8

ie 80-6=1/2×(140+8)

ie 74=1/2×148

thus 74=74

hence verified