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"In righitriangle ARC Kghtangledat \\( \\mathrm { C } \\), Mis\nthe mid-point thypotense \\( A B \\). Cissoined\nto Mand produced to a point D such that\n(see \\( \\mathrm { CM } _ { 2 } , 2,233 \\). Show that:\n(AMME ABMD\n(A) DBC is a right angle.\n(iii) \\( \\Delta \\mathrm { DBC } \\equiv \\Delta \\mathrm { ACB } \\)"
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Q1
In right angled triangle ABC, right angled at C,M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM. Point D is joined to point B. Show that:
(i) △AMC≅△BMD
(ii) ∠DBC is a right angle.
(iii) △DBC≅△ACB
(iv) CM=12AB
(i) △AMC≅△BMD
(ii) ∠DBC is a right angle.
(iii) △DBC≅△ACB
(iv) CM=12AB
View Solution
Q2
In right triangle ABC, right angled at C,M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM. Point D is joined to point B (see figure).
Show that:
(i) ΔAMC≅ΔBMD
(ii) ∠DBC is a right angle.
(iii) ΔDBC≅ΔACB
(iv) CM=12AB
Show that:
(i) ΔAMC≅ΔBMD
(ii) ∠DBC is a right angle.
(iii) ΔDBC≅ΔACB
(iv) CM=12AB
View Solution
Q3
In right triangle ABC, right angled at C, M is the mid -point of hypotenuse AB. C joined to M and produced to a point D such that DM=CM. Point D is joined to point B . Show that:
(i) △AMC≅BMD
(ii) ∠DBC is a right angle.
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(iii) △DBC≅△ACB
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View Solution
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△DBC≅△ACB
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View Solution
Q5
In right triangle ABC, right angle is at C,M is the mid-point of hypotenuse AB,C is joined to M and produced to a point D such that DM=CM. Point D is joined to point B. Show that:
∠DBC is a right angle
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View Solution