Question : A quadrilateral $ABCD$ circumscribes a circle and $AB=6\operatorname{cm},CD=5\operatorname{cm},$ and $AD=7\operatorname{cm}$. The length of side $BC$ is:
Option 1: 4 cm
Option 2: 5 cm
Option 3: 6 cm
Option 4: 3 cm
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 4 cm
Solution : In a quadrilateral that circumscribes a circle, the sum of a pair of opposite sides is equal to the sum of the other pair of opposite sides. We know that the tangents from a point to a circle are equal in length. In quadrilateral $ABCD$, $AB + CD = AD + BC$ $⇒6+5= 7+ BC$ $\therefore BC =4\operatorname{cm}$ Hence, the correct answer is 4 cm.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : In the isosceles triangle ABC with BC is the unequal side of the triangle, and line AD is the median drawn from the vertex A to the side BC. If the length AC = 5 cm and the length of the median is 4 cm, then find the length of BC (in (cm).
Question : Chords AB and CD of a circle intersect at E. If AE = 9 cm, BE = 12 cm, and CE = 3DE, then the length of DE(in cm) is:
Question : 360 cm2 and 250 cm2 are the areas of the two similar triangles. If the length of one of the sides of the first triangle is 8 cm, then the length of the corresponding side of the second triangle is:
Question : The radii of two concentric circles are 34 cm and 50 cm. A and D are the points on a larger circle and B and C are the points on a smaller circle. If ABCD is a straight line and BC = 32 cm, then what is the length of AD?
Question : The centroid of an equilateral triangle $ABC$ is $G$ and $AB = 10 \:\operatorname{ cm}$. The length of $AG$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile