In the given figure, a circle touches all the four sides of quadrilateral ABCD with AB = 6 cm, BC = 7 cm and…

Question

In the given figure, a circle touches all the four sides of quadrilateral ABCD with AB = 6 cm, BC = 7 cm and CD = 4 cm. The length AD is

ScanSolve AI Tutor · Accepted Answer

Q5 Step 1: A circle touches all four sides of quadrilateral ABCD, so it is tangential. Sums of lengths of opposite sides are equal. AB + CD = AD + BC Step 2: Substitute given lengths (all in cm). 6 + 4 = AD + 7 Step 3: Simplify and solve for AD. 10 = AD + 7; AD = 10 − 7 = 3 cm Answer: 3 cm (option 2) 3 Q6 Step 1: In an A.P., the difference between terms is (m − k)d, where d is common difference. Assume standard: a_n − a_p where n − p = 2 (common in such problems, e.g., a₄ − a₂ or a₃ − a₁). Step 2: Substitute d = 3 cm? No units for AP, but numerical. a_n − a_p = (n − p)d = 2 × 3 = 6 Answer: 6 (option 2) 6 Q7 Step 1: For A.P., first term a = 1, last term l = 11, sum $S_n

In the given figure, a circle touches all the four sides of quadrilateral ABCD with AB = 6 cm, BC = 7 cm and CD = 4 cm. The length AD is

Step-by-step solution

A circle touches all four sides of quadrilateral $ABCD$ , so it is tangential.

Substitute given lengths (all in cm).

Simplify and solve for $AD$ .

In an A.P., the difference between terms is $(m - k)d$ , where $d$ is common difference.

Substitute $d = 3$ cm?

For A.P., first term $a = 1$ , last term $l = 11$ , sum $S_n

Still stuck on this one?

More Mathematics Questions

In the given figure, a circle touches all the four sides of quadrilateral ABCD with AB = 6 cm, BC = 7 cm and CD = 4 cm. The length AD is

Step-by-step solution

A circle touches all four sides of quadrilateral ABCDABCDABCD, so it is tangential.

Substitute given lengths (all in cm).

Simplify and solve for ADADAD.

In an A.P., the difference between terms is (m−k)d(m - k)d(m−k)d, where ddd is common difference.

Substitute d=3d = 3d=3 cm?

For A.P., first term a=1a = 1a=1, last term l=11l = 11l=11, sum $S_n

Still stuck on this one?

More Mathematics Questions

A circle touches all four sides of quadrilateral $ABCD$ , so it is tangential.

Simplify and solve for $AD$ .

In an A.P., the difference between terms is $(m - k)d$ , where $d$ is common difference.

Substitute $d = 3$ cm?

For A.P., first term $a = 1$ , last term $l = 11$ , sum $S_n