Question : If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is:
Option 1: isosceles
Option 2: scalene
Option 3: equilateral
Option 4: right-angled
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: equilateral
Solution : Let the two equal angles as $\alpha$ and the third angle as $\beta$. According to the problem, $\beta$ is equal to half the sum of the other two angles. $⇒\beta = \frac{1}{2}(2\alpha) = \alpha$ Hence, the angles are $\alpha, \alpha$, and $\alpha$. So, each angle in the triangle is equal, Therefore, this is an equilateral triangle. Hence, the correct answer is 'equilateral'.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : If the angles of a triangle are in the ratio of 1 : 2 : 3, what is the type of such triangle?
Question : In a triangle, if three altitudes are equal, then the triangle is:
Question : The length of the sides of a triangle is $a, b,$ and $c$ respectively if $a^2 + b^2 + c^ 2 = ab + bc + ca$, then the triangle is:
Question : In an isosceles triangle, if the vertex angle is twice the sum of the base angle, then the measure of the half of the vertex angle of the triangle is:
Question : x, y, and z are the sides of a triangle. If z is the largest side and x2 + y2 > z2, then the triangle is a:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile