Question : $\triangle$ XYZ is a right-angled triangle and $\angle$Y = 90° If XY = 2.5 cm and YZ = 6 cm, then the circumradius of $\triangle$XYZ is:
Option 1: 6.5 cm
Option 2: 3.25 cm
Option 3: 3 cm
Option 4: 2.5 cm
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 3.25 cm
Solution : Given: XYZ is a right-angled triangle and $\angle$Y = 90°, where XY = 2.5 cm and YZ = 6 cm. Let the hypotenuse of the triangle be $h$ cm. So, $h^2=6^2+(2.5)^2$ ⇒ $h=\sqrt{42.25}$ ⇒ $h=6.5$ cm We know, The circumradius of a right-angled triangle is half of its hypotenuse. So, the circumradius = $\frac{6.5}{2}$ = 3.25 cm Hence, the correct answer is 3.25 cm.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : In a triangle $XYZ$ right-angled at $Y$, if $XY=2\sqrt{6}$ and $XZ-YZ=2$, then $\sec X+\tan X$ is:
Question : Suppose $\triangle ABC$ be a right-angled triangle where $\angle A=90°$ and $AD\perp BC$. If the area of $\triangle ABC =40$ cm$^{2}$ and $\triangle ACD =10$ cm$^{2}$ and $\overline{AC}=9$ cm, then the length of $BC$ is:
Question : In a triangle PQR, $\angle$Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?
Question : If the angle of a right-angled triangle is 35°, then find the other angles.
Question : In a triangle ABC, AB = 6$\sqrt{3}$ cm, AC = 12 cm and BC = 6 cm. Then the measure of $\angle B$ is equal to:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile