Q. If the angles of triangle JKL are in the ratio 2:3:4, what is the measure of the largest angle? (2023)
-
A.
40 degrees
-
B.
60 degrees
-
C.
80 degrees
-
D.
90 degrees
Solution
Let the angles be 2x, 3x, and 4x. Then, 2x + 3x + 4x = 180 degrees. Therefore, 9x = 180, x = 20. The largest angle is 4x = 80 degrees.
Correct Answer: C — 80 degrees
Learn More →
Q. If the area of triangle ABC is 60 square units and the base is 10 units, what is the height of the triangle? (2019)
-
A.
6 units
-
B.
12 units
-
C.
10 units
-
D.
8 units
Solution
Area = 1/2 * base * height. Therefore, 60 = 1/2 * 10 * height, which gives height = 12 units.
Correct Answer: A — 6 units
Learn More →
Q. If the sides of triangle XYZ are in the ratio 3:4:5, what type of triangle is it? (2021)
-
A.
Acute
-
B.
Obtuse
-
C.
Right
-
D.
Equilateral
Solution
A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Correct Answer: C — Right
Learn More →
Q. In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is the measure of angle C? (2021)
-
A.
30 degrees
-
B.
60 degrees
-
C.
90 degrees
-
D.
120 degrees
Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (30 + 60) = 90 degrees.
Correct Answer: C — 90 degrees
Learn More →
Q. In triangle DEF, if angle D = 45 degrees and angle E = 45 degrees, what is the type of triangle? (2020)
-
A.
Scalene
-
B.
Isosceles
-
C.
Equilateral
-
D.
Right
Solution
Since two angles are equal (45 degrees), triangle DEF is an isosceles triangle.
Correct Answer: B — Isosceles
Learn More →
Q. In triangle GHI, if GH = 10 cm, HI = 24 cm, and GI = 26 cm, what is the length of the longest side? (2022)
-
A.
10 cm
-
B.
24 cm
-
C.
26 cm
-
D.
Cannot be determined
Solution
The longest side of triangle GHI is GI, which measures 26 cm.
Correct Answer: C — 26 cm
Learn More →
Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the perimeter of the triangle? (2022)
-
A.
24 cm
-
B.
26 cm
-
C.
22 cm
-
D.
20 cm
Solution
Perimeter = PQ + QR + PR = 8 + 6 + 10 = 24 cm.
Correct Answer: A — 24 cm
Learn More →
Q. The lengths of the sides of triangle ABC are 5 cm, 12 cm, and 13 cm. What is the area of the triangle? (2019)
-
A.
30 cm²
-
B.
60 cm²
-
C.
24 cm²
-
D.
40 cm²
Solution
Using Heron's formula, s = (5 + 12 + 13)/2 = 15. Area = √[s(s-a)(s-b)(s-c)] = √[15(15-5)(15-12)(15-13)] = √[15*10*3*2] = √[900] = 30 cm².
Correct Answer: A — 30 cm²
Learn More →
Q. The lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm. Is this triangle a right triangle? (2020)
-
A.
Yes
-
B.
No
-
C.
Cannot be determined
-
D.
Only if angle A is 90 degrees
Solution
Using the Pythagorean theorem, 7^2 + 24^2 = 49 + 576 = 625 = 25^2. Therefore, triangle ABC is a right triangle.
Correct Answer: A — Yes
Learn More →
Q. What is the relationship between the angles of an equilateral triangle? (2023)
-
A.
All angles are 60 degrees
-
B.
All angles are 90 degrees
-
C.
Two angles are equal
-
D.
No angles are equal
Solution
In an equilateral triangle, all three angles are equal and measure 60 degrees each.
Correct Answer: A — All angles are 60 degrees
Learn More →
Showing 1 to 10 of 10 (1 Pages)
