Question

Q1) Based on the sides of a triangle, which of the following is a classification of triangles? (a) A right angled - i * a * n (b) An acute angled triangle(c) An obtuse angled riangle * (d) An isosceles triangle​

Answer 1

Answer:

Isosceles triangle: An isosceles triangle is a triangle whose any two sides are equal.

Isosceles Triangle

The adjoining figure shows an isosceles triangle where XY = XZ.

Step-by-step explanation:

Acute-angled triangle: If all the three angles of a triangle are acute angles (i.e., each measures less than 90°), it is called an acute-angled triangle.

Acute-angled Triangle

Here, ∠XYZ, ∠YZX and ∠ZXY are all acute angles.

Right-angled triangle: If one of the angles of a triangle is a right angle (i.e., measures 90°), it is called a right-angled triangle.

Right-angled Triangle

Here, <XYZ = 90°.

Therefore, ∆ XYZ is a right-angled triangle.

Obtuse-angled triangle: If any of the three angles of a triangle is an obtuse angles (i.e., measures more than 90°), it is called an obtuse-angled triangle.

Obtuse-angled Triangle

Here, ∠XYZ > 90°.

Therefore, ∆ XYZ is an obtuse-angled triangle.

Answer 2

Correct option is D)

In △ABC,

∠A=∠B+∠C

Now, sum of angles = 180

∠A+∠B+∠C=180

∠A+∠A=180

∠A=90

∘

Thus, △ABC, is a right angled triangle.

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