State True or False.
A triangle ABC can be constructed in which $B = 105^{\circ}, C = 90^{\circ} a n d A B + B C + A C = 10 c m .$

True

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False

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Solution

The correct option is B False
Given, $∠ B = 105^{\circ}$ and $∠ C = 90^{\circ}$
Sum of angles = $∠ B + ∠ C$ = $105 + 90$ = $195^{\circ}$
Since, the sum of only two angles exceed 180, the triangle is not possible.

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Similar questions

A triangle ABC can be constructed in which $∠$ B = 105 $^{\circ}$ , $∠$ C = 90 $^{\circ}$ and AB + BC + AC = 10 cm.

B = 60^{o}

C = 45^{o}

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

Δ A B C

∠ B = 105^{\circ}, ∠ C = 90^{\circ}

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

$To construct a triangle ABC in which BC = 5 cm and ∠ B = 60^{\circ} and AB + AC = 8 cm. What is the length of BD used in the construction?$

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