In ABC - - A -27- and - B -82- - What type of triangle is ABC -In triangle ABC - P -27- and - Q -82- - What type of triangle is triangle PQR -A- Right triangleB- Isosceles triangleC- Acute triangleD- Obtuse triangle

The correct option is C Acute triangleGiven, ∠ A = 27^∘ ∠ B = 82^∘ ∠ C = 180 (27+82) = 71^∘ Since all the three angles are acute angles, the given triangle i ...

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Byju's Answer

Standard VI

Mathematics

Angle Sum Property of Triangle

In ABC , ∠ A ...

Question

In $△ A B C, ∠ A = 27^{\circ} a n d ∠ B = 82^{\circ} .$ What type of triangle is $△ A B C ?$
In triangle ABC, <P = 27°, and <Q = 82°. What type of triangle is triangle PQR ?

Right triangle

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Isosceles triangle

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Acute triangle

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Obtuse triangle

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Solution

The correct option is C Acute triangle
Given,
$∠ A = 27^{\circ}$
$∠ B = 82^{\circ}$
$∠ C = 180 - (27 + 82) = 71^{\circ}$
Since all the three angles are acute angles, the given triangle is an acute triangle.

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In △ABC,∠A=27∘and∠B=82∘. What type of triangle is △ABC? In triangle ABC, <P = 27°, and <Q = 82°. What type of triangle is triangle PQR ?

The correct option is C Acute triangleGiven, ∠A=27∘ ∠B=82∘ ∠C=180−(27+82)=71∘ Since all the three angles are acute angles, the given triangle is an acute triangle.

In $△ A B C, ∠ A = 27^{\circ} a n d ∠ B = 82^{\circ} .$ What type of triangle is $△ A B C ?$
In triangle ABC, <P = 27°, and <Q = 82°. What type of triangle is triangle PQR ?

The correct option is C Acute triangle
Given,
$∠ A = 27^{\circ}$
$∠ B = 82^{\circ}$
$∠ C = 180 - (27 + 82) = 71^{\circ}$
Since all the three angles are acute angles, the given triangle is an acute triangle.