Write true or false for the given statement:
A triangle $A B C$ can be constructed in which $A B = 5 c m, ∠ A = 45 ° a n d B C + A C = 5 c m$ .

True

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False

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Solution

The correct option is B False
Explanation for the statement:
We know that the sum of any two sides of a triangle must be greater than the third side.
So as per the given data
$B C + A C = 5 c m = A B$
Hence, the triangle $A B C$ can not be constructed.

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Similar questions

Construct a $△$ ABC in which BC = 3.4 cm, AB - AC = 1.5 cm and $∠ B = 45^{\circ}$ .

It is possible to construct a triangle ABC in which AB = 5cm, $∠$ B = $45^{\circ}$ and (BC + AC) = 5cm.

True or False?

$Δ$ ABC can be constructed in which AB = 5cm, $∠$ A = 45 $^{\circ}$ and BC + AC = 5cm. State with true or false.

Δ A B C

∠ A = 45^{\circ}

A B C

B C = 7 c m, A B - A C = 1 c m

∠ A B C = 45^{o}

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