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D is a point on side BC of {A}{B}{C}such that {A}{D} = {A}{C}(

Question

D is a point on side BC of $Δ A B C$ such that $A D = A C$ (see Fig. 7.47).Show that $A B > A D$ .

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Noah Discussed

D is a point on side BC of

Δ A B C

such that

A D = A C

(see Fig. 7.47).Show that

A B > A D

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Solution:

∠ A D C

is a isosceles triangle

∠ A D C = ∠ A C D

∠ A B D

∠ A D C = ∠ A B D + ∠ B A D

∠ A D C > ∠ A B C

∠ A C D > ∠ A B C

∠ A C B > ∠ A B C

∠ A B C

∠ A C B > ∠ A B C

AB>AC
AB>AD.

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Question Text	D is a point on side BC of $Δ A B C$ such that $A D = A C$ (see Fig. 7.47).Show that $A B > A D$ .
Answer Type	Text solution:1
Upvotes	150