In triangle ABC, the angles are in the ratio of 2 : 3 : 4. The measure of the biggest angle in degrees is:
Given:
The ratio of the angles of triangle ABC is 2:3:4.
Formula Used:
Sum of angles in a triangle = 180°
Solution:
Let the angles of triangle ABC be 2x, 3x, and 4x
Since the sum of the angles in a triangle is 180°,
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Now, the angles of the triangle are:
First angle = 2x = 2 * 20 = 40°
Second angle = 3x = 3 * 20 = 60°
Third angle = 4x = 4 * 20 = 80°
Thus, the biggest angle is 80°.
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishIn △ABC, AB = AC = 12 cm, BC = 5 cm and D is a point on AC such that DB = BC. What is the measure of CD?
In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?
In △ABC, BD ⟂ AC at D and ∠DBC = 25°. E is a point on BC such that ∠CAE = 80°. What is the measure of ∠AEB?
In △ABC, BD ⟂ AC at D and ∠DBC = 22°. E is a point on BC such that ∠CAE = 36°. What is the measure of ∠AEB?
In △LMN, medians MX and NY are perpendicular to each other and intersect at Z. If MX = 20 cm and NY = 30 cm, what is the area of △LMN (in cm²)?
The value of x in the given diagram is
In an isosceles triangle, the vertex angle measures 76°. What is the measure of each ofthe base angles?
In PQR, 3 P = 4Q = 6R, then find the value of ().
Suggested Test Series
Suggested Test Series
