Question

topic 11 classifying triangles 1. classify each triangle by its angles and sides. a. △abe: b. △bec: c. △def: d. △cdf.

Explanation:

Step1: Analyze triangle ABE

In triangle ABE, there is a right - angle at ∠AEB. So it is a right - triangle. Also, no equal side markings are shown, so it is a scalene right - triangle.

Step2: Analyze triangle BEC

In triangle BEC, no right - angle or special angle markings are shown. And no equal side markings are present, so it is a scalene acute triangle (since no obtuse angles are indicated).

Step3: Analyze triangle ADEF

It seems there is a mis - naming as it is not a triangle (a triangle has 3 vertices). Assuming it was a wrong label and we consider triangle DEF. There are equal side markings on two sides, so it is an isosceles triangle. And no right or obtuse angle markings, so it is an isosceles acute triangle.

Step4: Analyze triangle ACDF

Again, this is not a triangle as it has 4 vertices. Assuming it was a wrong label and we consider triangle CDF. There are equal side markings on two sides, so it is an isosceles triangle. And no right or obtuse angle markings, so it is an isosceles acute triangle.

Answer:

a. Scalene right - triangle
b. Scalene acute triangle
c. Isosceles acute triangle
d. Isosceles acute triangle