The construction of a $∆ A B C$ given that $B C = 6 c m$ , $∠ B = 45 °$ is not possible when difference of $A B$ and $A C$ is equal to

$6.9 c m$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$5.2 c m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$5.0 c m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$4.0 c m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$6.9 c m$

Find the value of $A B - A C$
It is known that the construction of a triangle can not be possible if the difference between two sides is greater than or equal to the third side.
It is given that $B C = 6 c m$ .
Thus,
$A B - A C \geq B C$
This condition is only satisfied by option(d).
Hence, the correct option is (d) $6.9 c m$ .

Suggest Corrections

Similar questions

Δ A B C

∠ B = 45^{\circ}

The construction of a triangle $A B C$ , given that $B C = 6 c m, ∠ B = 45 °$ is not possible when difference of $A B$ and $A C$ is equal to:

A B C

B C =

6

B =

45^{\circ}

A B

A C

The construction of a $∆ A B C$ in which $B C = 6 c m$ , $∠ B = 50 °$ is not possible when $(A B - A C)$ is equal to

The construction of a $∆ A B C$ , given that $B C = 3 c m, ∠ C = 60 °$ is possible when difference of $A B a n d A C$ is equal to:

Join BYJU'S Learning Program