ABCD ABC is a triangle ABC is equal to 8 cm and BC is equal to 3 cm BC is parallel to CD find b is by CD is equal to dash
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Answer:Let, CD =x cm then from Δ ADC, using Pythagorous theorem we get,
AD
2
+CD
2
=AC
2
⇒AD
2
+x
2
=3
2
⇒AD
2
=(c−x
2
).........(1)
In Δ ABD , using Pythagorous theorem,
AB
2
=BD
2
+AD
2
⇒8
2
=(6+x)
2
+(9−x
2
)[Using equation (1)]
⇒64=36+x
2
+12x+9−x
2
⇒12x=64−45
⇒x=
12
19
∴CD=
12
19
cm=1.58
3
cm
Step-by-step explanation:
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