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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	If △ABC ~ △MNO such that Area of △ABC = 4 △MNO and AB = 16 cm, find the length of MN.	A) 9 cm B) 8 cm C) 10 cm D) 5 cm
2	The area of a right triangle is 171 cm² and one of its legs is 18 cm long. Find the length of other leg.	A) 8 cm B) 9 cm C) 18 cm D) 6 cm
3	The area of the triangle is equal to that of square whose each side measures 80 cm. Find the side of the triangle whose corresponding altitude is 64 cm.	A) 150 cm B) 250 cm C) 100 cm D) 200 cm
4	The figure above shows the right triangle ABC with legs of length 4 and a. What is the value of sin A? $4$	A) \$"a"/(sqrt(4 + "a"))\$ B) \$"a"/(sqrt(8 + "a"^2))\$ C) \$"a"/(sqrt(4 + "a"^2))\$ D) \$"a"/(sqrt(16 + "a"^2))\$
5	In triangle ABC, ∠A – ∠B = 20 degree and ∠B – ∠C = 180 degree. Find the measure of each angle of the triangle.	A) ∠A = 70 degrees, ∠B = 50 degrees, ∠C = 40 degrees B) ∠A = 60 degrees, ∠B = 70 degrees, ∠C = 30 degrees C) ∠A = 80 degrees, ∠B = 60 degrees, ∠C = 40 degrees D) ∠A = 70 degrees, ∠B = 60 degrees, ∠C = 20 degrees
6	What is the value of h in the figure? $6$	A) 6 B) 8 C) 4 D) 16
7	Triangle XYZ is similar to triangle RST such that X, Y, and Z correspond to R, S, and T, respectively.The measure of \$\angle"Z"\$ is 40° and 2XY = RS. What is the measure of \$\angle"T"\$?	A) 40° B) 30° C) 20° D) 50°
8	Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 20°, what is the measure of angle S? $8$	A) 70° B) 90° C) 100° D) 30°
9	In triangle ABC, AD is the median drawn from A to BC, with D being the midpoint of BC. If the area of triangle ABD is 24 square units and the area of triangle ADC is 18 square units, what is the area of triangle ABC?	A) 40 sq.units B) 42 sq.units C) 44 sq.units D) 24 sq.units
10	The length of the hypotenuse of a right triangle is 60 cm. The size of one of its angles is 45 degrees. What are the exact lengths of the other two sides of the triangle?	A)\$60sqrt2\$ B) \$30sqrt2\$ C) \$sqrt1900\$ D) \$20sqrt2\$

Problem Id

Problem

Options

If △ABC ~ △MNO such that Area of △ABC = 4 △MNO and AB = 16 cm, find the length of MN.

A) 9 cm

B) 8 cm

C) 10 cm

D) 5 cm

The area of a right triangle is 171 cm² and one of its legs is 18 cm long. Find the length of other leg.

A) 8 cm

B) 9 cm

C) 18 cm

D) 6 cm

The area of the triangle is equal to that of square whose each side measures 80 cm. Find the side of the triangle whose corresponding altitude is 64 cm.

A) 150 cm

B) 250 cm

C) 100 cm

D) 200 cm

The figure above shows the right triangle ABC with legs of length 4 and a. What is the value of sin A?

$4$

A) \$"a"/(sqrt(4 + "a"))\$

B) \$"a"/(sqrt(8 + "a"^2))\$

C) \$"a"/(sqrt(4 + "a"^2))\$

D) \$"a"/(sqrt(16 + "a"^2))\$

In triangle ABC, ∠A – ∠B = 20 degree and ∠B – ∠C = 180 degree. Find the measure of each angle of the triangle.

A) ∠A = 70 degrees,
∠B = 50 degrees,
∠C = 40 degrees

B) ∠A = 60 degrees,
∠B = 70 degrees,
∠C = 30 degrees

C) ∠A = 80 degrees,
∠B = 60 degrees,
∠C = 40 degrees

D) ∠A = 70 degrees,
∠B = 60 degrees,
∠C = 20 degrees

What is the value of h in the figure?

$6$

A) 6

B) 8

C) 4

D) 16

Triangle XYZ is similar to triangle RST such that X, Y, and Z correspond to R, S, and T, respectively.The measure of \$\angle"Z"\$ is 40° and 2XY = RS. What is the measure of \$\angle"T"\$?

A) 40°

B) 30°

C) 20°

D) 50°

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 20°, what is the measure of angle S?

$8$

A) 70°

B) 90°

C) 100°

D) 30°

In triangle ABC, AD is the median drawn from A to BC, with D being the midpoint of BC. If the area of triangle ABD is 24 square units and the area of triangle ADC is 18 square units, what is the area of triangle ABC?

A) 40 sq.units

B) 42 sq.units

C) 44 sq.units

D) 24 sq.units

The length of the hypotenuse of a right triangle is 60 cm. The size of one of its angles is 45 degrees. What are the exact lengths of the other two sides of the triangle?

A)\$60sqrt2\$

B) \$30sqrt2\$

C) \$sqrt1900\$

D) \$20sqrt2\$