Question : The midpoints of AB and AC of a $\triangle$ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC − XY is:
Option 1: 5 cm
Option 2: 4 cm
Option 3: 6 cm
Option 4: 8 cm
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: 8 cm
Solution : The line segment in a triangle joining the midpoint of any two sides of the triangle is said to be parallel to its third side and half the length of the third side. According to the question, BC + XY = 24 ..........(1) Since XY = $\frac{1}{2}$ of BC, ⇒ $\frac{1}{2}$BC + BC = 24 ⇒ 3BC = 24 × 2 ⇒ 3BC = 48 ⇒ BC = 16 cm From Eq. (1) we get, ⇒ 16 + XY = 24 ⇒ XY = 8 cm Now accordingly, ⇒ BC – XY = 16 – 8 = 8 cm The value of BC – XY is 8 cm. Hence, the correct answer is 8 cm.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : The midpoints of sides AB and AC of the triangle ABC are, respectively, X and Y. If (BC + XY) = 12 units, then the value of (BC – XY) is:
Question : The midpoints of AB and AC of a $\triangle ABC$ are X and Y, respectively. If BC + XY = 18 cm, then the value of BC – XY is:
Question : $\triangle ABC$ and $\triangle PQR$ are two triangles. AB = PQ = 6 cm, BC = QR =10 cm, and AC = PR = 8 cm. If $\angle ABC = x$, then what is the value of $\angle PRQ$?
Question : $\triangle ABC \sim \triangle DEF$ and the perimeters of $\triangle ABC$ and $\triangle DEF$ are 40 cm and 12 cm respectively. If DE = 6 cm then AB is:
Question : $ABC$ is a triangle. $AB = 5$ cm, $AC = \sqrt{41}$ cm and $BC = 8$ cm. $AD$ is perpendicular to $BC$. What is the area (in cm2) of $\triangle ABD$?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile