Question

classify the following triangles according to their sides and angles

Answer 1

frist is isosceles triangle, second is right angled triangle, third is also right angled triangle

Answer 2

The triangles are classified as below-

ΔABC is an Isosceles Triangle

ΔTEN is a Scalene Right-angled Triangle

ΔLNM is an Isosceles Right-angled Triangle

Step-by-step explanation:

Given:

In ΔABC, side AB= 5cm, side BC=8cm, side AC=8cm

ΔTEN, side TE= 8cm, side EN= 6cm, side TN= 10cm, ∠TEN=90°

ΔLNM, side LN= 7cm, side NM= 7cm, ∠LNM=90°

To find:

types of triangles

Solution:

1. Consider ΔABC,

side AB= 5cm, side BC=8cm, side AC=8cm

The two sides side BC and side AC are equal

∴ ΔABC is an isosceles triangle

⇒ An isosceles triangle is a triangle with two congruent sides.

  2. Consider ΔTEN,

side TE= 8cm, side EN= 6cm, side TN= 10cm, ∠TEN=90°

Here, all the sides of the triangle are different in length and have an angle of 90°

∴ ΔTEN is a scalene right-angled triangle

⇒ A scalene triangle has all the lengths of the sides unequal. When the scalene triangle is accompanied by an angle of 90°, it will be considered a scalene right-angled triangle.

 3. Consider ΔLNM,

side LN= 7cm, side NM= 7cm, ∠LNM=90°

In the given triangle length of sides, LN and NM are equal and one angle is 90°

∴ ΔLNM is an isosceles right-angled triangle.

⇒ When a triangle has two sides of equal lengths it is known as an isosceles triangle, but it has a measure of the angle of 90° hence, will be an isosceles right-angled triangle.