State true or false
A triangle ABC can be constructed in which $B = 60^{o}$ , $C = 45^{o}$ and $A B + B C + A C = 12 c m$ .

True

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False

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Solution

The correct option is A True
Given, $∠ B = 60^{\circ}$ and $∠ C = 45^{\circ}$
Sum of angles = $∠ B + ∠ C$ = $60 + 45$ = $105^{\circ}$
Since, the sum of only two angles is less than 180, the triangle is possible.

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Similar questions

∠ B = 60^{o}

∠ C = 45^{o}

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

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

True or False?

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

\frac{A B}{A D} = \frac{A C}{A E}

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