A triangle ABC can be constructed in which ∠ B = 95°, ∠C = 90° and AB + BC + AC = 20 cm.

True

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False

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Solution

The correct option is B
False

Here, $∠$ B = 95°, $∠$ C = 90 $^{\circ}$

And AB + BC + CA = 20cm

We know that, sum of angles of a triangle is 180 $^{\circ}$ .

Here, $∠$ A + $∠$ B + $∠$ C = 180 $^{\circ}$

$∠$ B + $∠$ C = 95° + 90° = 185°, which is not true.

Thus, $Δ$ ABC with given conditions cannot be constructed.

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Similar questions

B = 105^{\circ}, C = 90^{\circ} a n d A B + B C + A C = 10 c m .

A triangle ABC in which BC = 3.4 cm, AB - AC = 1.5 cm and $∠$ B = 45 $\circ$ can be constructed using compass and ruler.

∠ B = 60^{o}

∠ C = 45^{o}

B = 60^{o}

C = 45^{o}

A B + B C + A C = 12 c m

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

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