mathss problem pllsss solve thiss and i make u brainlist plsss solve any one have brain
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Step-by-step explanation:
a)Let ABCD be a quadrilateral in which the angle bisectors AH, BF, CF & DH of internal ∠A, ∠B, ∠C & ∠D respectively form a quadrilateral EFGH. EFGH is cyclic quadrilateral. Hence,EFGH is a cyclic quadrilateral in which the sum of one pair of opposite angles is 180° i.e.∠ FEH + ∠ FGH = 180°.
b)R.E.F. Image.
In △ABC,
(1) M is the mid point of AB and
MD∥BC
D is the mid point of AC
(2) As MD∥BC &
AC is transversal
∠MDC+∠BCD=180
∘
∠MDC+90
∘
=180
∘
⇒∠MDC=90
∘
⇒MD⊥AC
(3) In △AMD and △CMD
AD=CD
∠ADM=∠CDM
DM=DM
△AMD≅△CMD
AM=CM⇒AM=
2
1
AB⇒CM=AM=
2
1
AB
HOPE THIS HELPS YOU
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