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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Area of Triangle

Grade: 1300-a Lesson: S3-L2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	ABCD is a rectangle. What is the area of triangle EBD? $1$	A) 21 B) 12 C) 15 D) 24
2	Find the area of a triangle whose sides are 5 cm, 12 cm, and 13 cm. Hence, find the length of the altitude corresponding to the shortest side.	A) 11 B) 12 C) 21 D) 18
3	In a Δ ABC, AB = 10 cm, BC = 6 cm and AC = 8 cm. Find the area of Δ ABC and hence its altitude on AC. $3$	A) 10 B) 8 C) 4 D) 6
4	Find the area of the triangle whose perimeter is 120 cm and sides are in ratio 3:4:5.	A) \$750 "cm"^2\$ B) \$700 "cm"^2\$ C) \$650 "cm"^2\$ D) \$600 "cm"^2\$
5	Find the area of triangle whose length of two sides are 16 cm and 15 cm and angle between them is 30°.	A) \$70 "cm"^2\$ B) \$120 "cm"^2\$ C) \$60 "cm"^2\$ D) \$90 "cm"^2\$
6	If △ABC ~ △PQR such that area of △ABC is 225 cm2, area of △PQR is 196 cm2 and BC = 30 cm, find the length of QR.	A) 25 cm B) 27 cm C) 28 cm D) 26 cm
7	The triangle has a base to height ratio of 5:3. If the area of the triangle is 180 cm², what are the base and height?	A) \$"b" = 10sqrt6, "h" = 6sqrt6\$ B) \$"b" = 5sqrt6, "h" = 6sqrt6\$ C) \$"b" = 5sqrt6, "h" = 6sqrt3\$ D) \$"b" = 5sqrt6, "h" = 6sqrt5\$
8	The angles of the triangle are in the ratio 1:2:3. Find the measure of each angle of the triangle.Find the angle of area of a triangle.	A) \$sqrt3/2\$ B) \$1/sqrt2\$ C) \$2sqrt3\$ D) \$1/2\$
9	Find the area of triangle whose length of two sides are 12 cm and 10 cm, respectively and angle between them is 30°.	A) \$60 "cm"^2\$ B) \$30 "cm"^2\$ C) \$15 "cm"^2\$ D) \$90 "cm"^2\$
10	In the figure above, triangle ABC is similar to triangle XYZ. What is the value of cos(A)? $10$	A) \$1/sqrt2\$ B) \$sqrt3/2\$ C) \$sqrt3/4\$ D) \$1/2\$

Problem Id

Problem

Options

ABCD is a rectangle. What is the area of triangle EBD?

$1$

A) 21

B) 12

C) 15

D) 24

Find the area of a triangle whose sides are 5 cm, 12 cm, and 13 cm. Hence, find the length of the altitude corresponding to the shortest side.

A) 11

B) 12

C) 21

D) 18

In a Δ ABC, AB = 10 cm, BC = 6 cm and AC = 8 cm. Find the area of Δ ABC and hence its altitude on AC.

$3$

A) 10

B) 8

C) 4

D) 6

Find the area of the triangle whose perimeter is 120 cm and sides are in ratio 3:4:5.

A) \$750 "cm"^2\$

B) \$700 "cm"^2\$

C) \$650 "cm"^2\$

D) \$600 "cm"^2\$

Find the area of triangle whose length of two sides are 16 cm and 15 cm and angle between them is 30°.

A) \$70 "cm"^2\$

B) \$120 "cm"^2\$

C) \$60 "cm"^2\$

D) \$90 "cm"^2\$

If △ABC ~ △PQR such that area of △ABC is 225 cm2, area of △PQR is 196 cm2 and BC = 30 cm, find the length of QR.

A) 25 cm

B) 27 cm

C) 28 cm

D) 26 cm

The triangle has a base to height ratio of 5:3. If the area of the triangle is 180 cm², what are the base and height?

A) \$"b" = 10sqrt6, "h" = 6sqrt6\$

B) \$"b" = 5sqrt6, "h" = 6sqrt6\$

C) \$"b" = 5sqrt6, "h" = 6sqrt3\$

D) \$"b" = 5sqrt6, "h" = 6sqrt5\$

The angles of the triangle are in the ratio 1:2:3. Find the measure of each angle of the triangle.Find the angle of area of a triangle.

A) \$sqrt3/2\$

B) \$1/sqrt2\$

C) \$2sqrt3\$

D) \$1/2\$

Find the area of triangle whose length of two sides are 12 cm and 10 cm, respectively and angle between them is 30°.

A) \$60 "cm"^2\$

B) \$30 "cm"^2\$

C) \$15 "cm"^2\$

D) \$90 "cm"^2\$

In the figure above, triangle ABC is similar to triangle XYZ. What is the value of cos(A)?

$10$

A) \$1/sqrt2\$

B) \$sqrt3/2\$

C) \$sqrt3/4\$

D) \$1/2\$