Identify the type of triangle based on the given sides:

(a) AB = 4 cm, BC = 4 cm, AC = 6 cm
(b) PQ = 9 cm, QR = 8 cm, PR = 6 cm
(c) DE = 7.5 cm, EF = 7.5 cm, FD = 7.5 cm
(d) Draw the triangle for each of the above parts. Label the triangle and write the measures on the corresponding sides.

To identify the type of triangle based on the given sides, we will look at the measures of each side and use the properties of triangles.
(a) Triangle ABC:

Sides: A B = 4 cm , BC = 4 cm , A C = 6 cm
Since two sides are equal (AB = BC), this triangle is an isosceles triangle .

(b) Triangle PQR:

Sides: PQ = 9 cm , QR = 8 cm , PR = 6 cm
All sides are different, hence this triangle is a scalene triangle .

(c) Triangle DEF:

Sides: D E = 7.5 cm , EF = 7.5 cm , F D = 7.5 cm
All sides are equal, therefore this triangle is an equilateral triangle .

To draw each triangle:

For Triangle ABC , draw side A B = 4 cm , then from each endpoint, draw arcs of radius 4 cm and 6 cm . Where the arcs intersect will be point C. Label the sides.

For Triangle PQR , start with side PQ = 9 cm , then use arcs of 8 cm and 6 cm from points Q and P respectively to locate point R. Label the sides.

For Triangle DEF , draw each side 7.5 cm since all sides are equal. It will form an equilateral triangle. Label the sides.


These steps and classifications help in identifying and drawing different types of triangles.

Answered by MasonWilliamTurner | 2025-07-21

Triangle ABC is isosceles with sides 4 cm, 4 cm, and 6 cm. Triangle PQR is scalene with sides 9 cm, 8 cm, and 6 cm. Triangle DEF is equilateral with all sides measuring 7.5 cm each.
;

Answered by MasonWilliamTurner | 2025-07-31