alleryA circle touches all four sides of convex ABCD; AB=6,BC=8,CD=10 cm. DA?
A6 cm
B8 cm
C12 cm
D10 cm
Answer & Solution
Correct answer: B. 8 cm
Equal tangents imply AB+CD=BC+DA, so DA=6+10−8=8 cm.
Keep practising Geometry: Similarity, Circles & Loci
Browse all Geometry: Similarity, Circles & Loci questions for ICSE Class 10, or explore more Mathematics topics.
Related questions
Match each circle tangent theorem with its geometric property:Match each circle intersection feature with its name:Match each cyclic quadrilateral property with its rule:Match each tangent calculation with its result:In a nondegenerate triangle, its incircle's centre must lieWhich condition verifies a constructed circle is a triangle's incircle?Set the compass point at a triangle's circumcentre. Which opening draws its circumcircle?Where is a right triangle's circumcentre?