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In each of the following cases, given reasons to show that the

Question

In each of the following cases, given reasons to show that the construction of $△ A BC$ is not possible:
$BC = 5 c m, ∠ B = 8 0^{o}, ∠ C = 5 0^{o}$ and $∠ A = 6 0^{o}$ .

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In each of the following cases, given reasons to show that the construction of

△ A BC

is not possible:

BC = 5 c m, ∠ B = 8 0^{o}, ∠ C = 5 0^{o}

and

∠ A = 6 0^{o}

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Text solutionVerified

It is given that

BC = 5 c m, ∠ B = 8 0^{o}, ∠ C = 5 0^{o}

and

∠ A = 6 0^{o}

The sum of any two sides of a triangle is grater than the third side

It can be written as

∠ A + ∠ B + ∠ C = 6 0^{o} + 8 0^{o} + 5 0^{o}

So we get

∠ A + ∠ B + ∠ C = 19 0^{o} > 18 0^{o}

Therefore, construction of

△ A BC

for the measurements given is

not possible.

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Question Text	In each of the following cases, given reasons to show that the construction of $△ A BC$ is not possible: $BC = 5 c m, ∠ B = 8 0^{o}, ∠ C = 5 0^{o}$ and $∠ A = 6 0^{o}$ .
Answer Type	Text solution:1
Upvotes	150