In ABC - AB -5 units and AB - BC- Then which of the following statements are true-A- - A - CB- - B - CC- BC -5 unitsD- AC -5 units

The correct options are A ∠ A = nbsp;∠ C C BC = 5 unitsGiven, in Δ ABC, AB = 5 units and AB = BC ⇒ BC = 5 units. Since AB = BC, we must have ∠ A = nbsp;∠ C. ...

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Standard IX

Mathematics

Properties of Isosceles Triangle

In ABC , AB =...

Question

In $Δ A B C$ , AB = 5 units and AB = BC. Then which of the following statements are true?

∠ A

∠ C

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∠ B

∠ C

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BC = 5 units

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AC = 5 units

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Solution

The correct options are
A $∠ A$ = $∠ C$
C BC = 5 units
Given, in $Δ A B C$ , AB = 5 units and AB = BC
$\Rightarrow$ BC = 5 units.
Since AB = BC, we must have $∠ A$ = $∠ C$ .
[Angles opposite to equal sides are equal]

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In ΔABC, AB = 5 units and AB = BC. Then which of the following statements are true?

The correct options are A ∠A = ∠C C BC = 5 unitsGiven, in ΔABC, AB = 5 units and AB = BC ⇒ BC = 5 units. Since AB = BC, we must have ∠A = ∠C. [Angles opposite to equal sides are equal]

In $Δ A B C$ , AB = 5 units and AB = BC. Then which of the following statements are true?

The correct options are
A $∠ A$ = $∠ C$
C BC = 5 units
Given, in $Δ A B C$ , AB = 5 units and AB = BC
$\Rightarrow$ BC = 5 units.
Since AB = BC, we must have $∠ A$ = $∠ C$ .
[Angles opposite to equal sides are equal]