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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Area of Triangle

Grade: 1400-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: at Home

Problem Id	Problem	Options
1	In triangle ABC, angle A measures 45 degrees, angle B measures 60 degrees, and side AB measures 8 inches. What is the area of triangle ABC? tan (45\$\degree\$ = 1)	A) 30 B) 32 C) 33 D) 23
2	Find the area of the given triangle ABC? $2$	A) \$sqrt2/3\$ B) \$sqrt3/2\$ C) \$3/2\$ D) \$1/2\$
3	In triangle XYZ, point P is on side XY such that XP = 6 and PY = 8. If the area of triangle XPZ is 24 square units and the area of triangle YPZ is 32 square units, what is the length of side YZ? $3$	A) 10 B) 4 C) 5 D) 8
4	What is the sine of the central angle of the circle shown? $4$	A) \$1/2\$ B) \$3/2\$ C) \$sqrt(2/3)\$ D) \$sqrt(3/2)\$
5	∆ABC is a right-angled triangle. BD ⊥ AC. If and DC = 4cm, then find the length of BD. $5$	A) 15 B) 10 C) 8 D) 14
6	Find the area of a regular triangle with radius equal to 6. $6$	A) \$72sqrt3 \$ B) \$27sqrt2\$ C) \$27sqrt3\$ D) \$72sqrt2\$
7	Triangle ABC shown is a right triangle, and sin B = \$3/5\$.What is the length of side BC? $7$	A) 16 B) 29 C) 18 D) 12
8	Find the area of the given triangle using the Law of Sines. (sin60 = \$sqrt3/2\$, sin30=\$1/2\$) $8$	A) 124.27 B) 125.72 C) 142.27 D) 142.72
9	If △ABC ~ △PQR such that area of △ABC is \$576 "cm"^2\$, area of △PQR is \$144 "cm"^2\$ and BC = 64 cm, find the length of QR. $9$	A) 42 B) 32 C) 62 D) 82
10	Circle with center O and radius 20cms has a chord AB of length of 10 cm in it. Find the area of triangle AOB. $10$	A) \$25sqrt10 "cm"^2\$ B) \$25sqrt15 "cm"^2\$ C) \$25 "cm"^2\$ D) \$25sqrt9 "cm"^2\$

Problem Id

Problem

Options

In triangle ABC, angle A measures 45 degrees, angle B measures 60 degrees, and side AB measures 8 inches. What is the area of triangle ABC? tan (45\$\degree\$ = 1)

A) 30

B) 32

C) 33

D) 23

Find the area of the given triangle ABC?

$2$

A) \$sqrt2/3\$

B) \$sqrt3/2\$

C) \$3/2\$

D) \$1/2\$

In triangle XYZ, point P is on side XY such that XP = 6 and PY = 8. If the area of triangle XPZ is 24 square units and the area of triangle YPZ is 32 square units, what is the length of side YZ?

$3$

A) 10

B) 4

C) 5

D) 8

What is the sine of the central angle of the circle shown?

$4$

A) \$1/2\$

B) \$3/2\$

C) \$sqrt(2/3)\$

D) \$sqrt(3/2)\$

∆ABC is a right-angled triangle. BD ⊥ AC. If and DC = 4cm, then find the length of BD.

$5$

A) 15

B) 10

C) 8

D) 14

Find the area of a regular triangle with radius equal to 6.

$6$

A) \$72sqrt3 \$

B) \$27sqrt2\$

C) \$27sqrt3\$

D) \$72sqrt2\$

Triangle ABC shown is a right triangle, and sin B = \$3/5\$.What is the length of side BC?

$7$

A) 16

B) 29

C) 18

D) 12

Find the area of the given triangle using the Law of Sines. (sin60 = \$sqrt3/2\$, sin30=\$1/2\$)

$8$

A) 124.27

B) 125.72

C) 142.27

D) 142.72

If △ABC ~ △PQR such that area of △ABC is \$576 "cm"^2\$, area of △PQR is \$144 "cm"^2\$ and BC = 64 cm, find the length of QR.

$9$

A) 42

B) 32

C) 62

D) 82

Circle with center O and radius 20cms has a chord AB of length of 10 cm in it. Find the area of triangle AOB.

$10$

A) \$25sqrt10 "cm"^2\$

B) \$25sqrt15 "cm"^2\$

C) \$25 "cm"^2\$

D) \$25sqrt9 "cm"^2\$