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Construction of Triangles: When 2 Sides and Included Angle Are Given

With which of...

Question

With which of the following information , we can create $△$ ABC?

¯ ¯¯¯¯¯¯ ¯ A B

= 6 cm ,

¯ ¯¯¯¯¯¯ ¯ B C

= 8 cm,

¯ ¯¯¯¯¯¯ ¯ A C

= 10 cm

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¯ ¯¯¯¯¯¯ ¯ A B

= 6 cm,

¯ ¯¯¯¯¯¯ ¯ B C

= 8,

∠

C= 30°

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∠

B= 60° ,

∠

C= 30° ,

¯ ¯¯¯¯¯¯ ¯ A C

= 10 cm

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∠

A= 90°,

∠

B= 60° ,

∠

C= 30°

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Solution

The correct option is A $¯ ¯¯¯¯¯¯ ¯ A B$ = 6 cm , $¯ ¯¯¯¯¯¯ ¯ B C$ = 8 cm, $¯ ¯¯¯¯¯¯ ¯ A C$ = 10 cm
We can construct a triangle when,
1) Three sides are given
2) Two sides and included angle are given
3)Two angles and included side are given
4) The hypotenuse and one side of a right angled triangle are given.

Suggest Corrections

Similar questions

Q. In which of the following, unique

△

ABC cannot be constructed with the given information? Assume AB = 5 cm for each of the options.

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

Q. Are the following triangles possible? [4 MARKS]
(i) AB = 4 cm, BC = 5.6 cm, AC = 10 cm
(ii)

∠ A

= 60

^{o}

∠ B

= 120

^{o}

∠ C

= 30

^{o}

(iii) AB = 5 cm, BC = 7 cm, AC = 11 cm
(iv)

∠ A

= 60

^{o}

∠ B

= 90

^{o}

∠ C

= 30

^{o}

Q. Construct a

△ A B C

in which AB=6 cm,

∠ A = 30^{\circ}

and

∠ B = 60^{\circ}

.Construct another

△ A B^{'} C^{'}

similar to

△ A B C

with base AB'=8 cm.

Q. In

△

PQR ,

∠

Q = 90° and

¯ ¯¯¯¯¯¯ ¯ P Q

= 15 cm. Which of the following information is needed to construct the triangle?

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With which of the following information , we can create △ ABC?

With which of the following information , we can create $△$ ABC?