Classify the following triangles.
$∆ G H I$ with $m ∠ G = 20 °, m ∠ H = 70 °, a n d m ∠ I = 90 °$ .

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Solution

Here, $m ∠ I = 90 °$ .
i.e., one of the angles is $90 ° .$
Since, in any triangle, if one of the angles is $90 °$ , then it is a right angled triangle.
Hence, $∆ G H I$ is a right-angled triangle.

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Δ A B C

Δ D E F

B C = 6 cm, A C = 4 cm, m ∠ B = 35^{\circ},

E F = 6 cm, D F = 4 cm, m ∠ E = 35^{\circ}

Δ A B C ≅ Δ D E F

△ A B C, m ∠ A + m ∠ C = m ∠ B

A C : A B = 25 : 24

B C = 21

△ A B C

△ A B C a n d △ D E F

B C = 6 c m, A C = 4 c m,

m ∠ B = 35^{\circ}, E F = 6 c m, D F = 4 c m,

m ∠ E = 35^{\circ} .

State, if the triangles are possible with the following angles.

20^{\circ}

70^{\circ}

90^{\circ}

Classify the following triangles.

$∆ M N O$ with $m ∠ M = 130 °, m ∠ S = 30 °, a n d m ∠ O = 20 °$ .

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