In an isosceles - ABC - - A is 30- The sides AB and AC are equal- Using constructions- find which side of - ABC is the shortest-A- ACB- ABC- Data InsufficientD- BC

The correct option is D BC Since the measure of angle A = 30^∘, then it follows that the other two angles must be equal and add up to 150^∘. That means they a ...

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Standard VII

Mathematics

Important Properties of Triangles

In an isoscel...

Question

In an isosceles $Δ$ ABC, $∠$ A is 30 $^{\circ}$ . The sides AB and AC are equal. Using constructions, find which side of $Δ$ ABC is the shortest.

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Data Insufficient

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Solution

The correct option is A
BC

Since the measure of angle A = 30 $^{\circ}$ , then it follows that the other two angles must be equal and add up to 150 $^{\circ}$ . That means they are each 75 $^{\circ}$ .

After construction, you can see that the side opposite to $∠$ A (side BC) is the smallest side.

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In an isosceles $Δ$ ABC, $∠$ A is 30 $^{\circ}$ . The sides AB and AC are equal. Using constructions, find which side of $Δ$ ABC is the shortest.

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In an isosceles ΔABC, ∠A is 30∘. The sides AB and AC are equal. Using constructions, find which side of ΔABC is the shortest.

The correct option is A BC Since the measure of angle A = 30∘, then it follows that the other two angles must be equal and add up to 150∘. That means they are each 75∘. After construction, you can see that the side opposite to ∠A (side BC) is the smallest side.

In an isosceles $Δ$ ABC, $∠$ A is 30 $^{\circ}$ . The sides AB and AC are equal. Using constructions, find which side of $Δ$ ABC is the shortest.