Construct $Δ A B C$ with AB = 6 cm, BC = 8 cm and AC = 10 cm. What's the measure of $∠ A B C$ ?

$30^{\circ}$

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$45^{\circ}$

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$60^{\circ}$

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$90^{\circ}$

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Solution

The correct option is D
$90^{\circ}$

Steps for construction:

1. Draw BC = 8 cm.

2. Using compass and taking B as the center, draw an arc of radius 6 cm.

3. With C as the center, draw an arc of 10 cm such that it cuts the previous arc at A.

4. Join BA and CA.

5. Measure $∠ A B C$ with protractor.

6. $∠ A B C = 90^{\circ}$

Suggest Corrections

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Written:

Construct a triangle ABC in which AB = 6 cm, BC = 10 cm and AC = 8 cm. Write the steps of construction.

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Construct ΔABC with AB = 6 cm, BC = 8 cm and AC = 10 cm. What's the measure of ∠ABC ?

Construct $Δ A B C$ with AB = 6 cm, BC = 8 cm and AC = 10 cm. What's the measure of $∠ A B C$ ?