Plane Geometry Quiz

Front

Two sides of a triangle measure 36 m and 49 m. One possible dimension of the third side is?

a. 84 m

c. 85 m

b. 12 m

d. 13 m

Back

a. 84 m

Front

In a triangle BCD, BC = 25 m and CD = 10 m. The perimeter of the triangle may be?

a. 69 m

b. 71 m

c. 70 m

d. 72 m

Back

a. 69 m

Front

What is the area of a triangle whose sides are 12 cm, 16 cm, and 21 cm?

a. 97.3 sq. units

b. 93.2 sq. units

c. 95.5 sq. units

d. 91.4 sq. units

Back

c. 95.5 sq. units

Front

The sides of a triangle measure 42 cm, 51 cm, and 67 cm. Find the area.

a. 950.91 cm²

c. 1,032.44 cm²

b. 992.68 cm²

d. 1,070.55 cm²

Back

d. 1,070.55 cm²

Front

Two sides of a triangle measure 67 m and 50 m. If its area is 1,400 m², find its perimeter.

a. 191.78 m

b. 220.28 m

c. 170.81 m

d. 229.18 m

Back

b. 220.28 m

Front

A triangle ABC has sides measuring AB = 160 m and AC = 190 m. Point D is along side AB and is 100 m from A. Point E is along side AC. If the area of triangle ADE is 3/5 of the area of triangle ABC, find the distance of E from A.

a. 142.80 m

b. 182.40 m

c. 128.40 m

d. 148.20 m

Back

b. 182.40 m

Front

The area of a triangle is 8,346 m² and two of its interior angles are 37°25’ and 56°17’. What is the length of the longest side?

a. 214.02 m

b. 181.54 m

c. 201.34 m

d. 190.62 m

Back

b. 181.54 m

Front

A triangle has an area of 845 m² and a perimeter of 136 m. If one of its side measures 48 m, find the length of the shortest side.

a. 32.19 m

b. 27.59 m

c. 36.86 m

d. 51.14 m

Back

c. 36.86 m

Front

A triangular lot has one side measuring 2 km. The lot is to be divided into two equal areas by a line parallel to the given side. Find the length of the dividing line.

a. 1.09 km

b. 1.22 km

c. 1.41 km

d. 1.63 km

Back

c. 1.41 km

Front

The perimeter of the triangle is 93 cm. If two sides are equally long and the third side is 9 cm longer than the others. Find the lengths of the three sides.

a. 28 cm, 28 cm, and 37 cm

b. 48 cm, 48 cm, and 57 cm

c. 58 cm, 58 cm, and 67 cm

d. 38 cm, 38 cm, and 47 cm

Back

a. 28 cm, 28 cm, and 37 cm

b. 48 cm, 48 cm, and 57 cm

c. 58 cm, 58 cm, and 67 cm

d. 38 cm, 38 cm, and 47 cm