Question

-) Infigure X, Y, Z, P, Q, D are points at which the lines touches with the circle. AP=21cm,
AX=8cm, CY=7cm.
i) Find the perimeter of ABC?
ii) Find AB, BC and AC
iii) Find the area of A ABC?
iv) Find the radius of the incircle of AABC?
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Answer 1



1

Secondary SchoolMath5 points

In the figure ,a circle touches all the 4 sides of a quadrilateral ABCD whose sides AB 6cm , BC 7cm, CD4cm. Find AB

Ask for details Follow Report by Asnair20.10.2014



i suppose u want the value of AD.. 



have missed some more data to be given? radius of the circle? 

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Answers

ABCD is a quadrilateral. A circle touches the sides AB, BC, CD and DA of the quadrilateral ABCD at P, Q, R and S respectively
.AB = 6 cm, CD = 4 cm and BC = 7 cm
We know that, the length of tangents drawn from an external point to the circle are equal.
AP = AS
BP = BQ
CQ = CR
DR = DS
Now, AB + CD = (AP + PB) + (CR + DR)
= (AS + BQ) + (CQ + DS)
= (AS + DS) + (BQ + CQ)
= AD + BC
∴ AB + CD = AD + BC
⇒ AD = AB + CD – BC
⇒ AD = 6 cm + 4 cm – 7 cm
⇒ AD = 10 cm – 7 cm
⇒ AD = 3 cm
Thus, the length of the side AD is 3 cm.

Answer 2

Answer:

this question answer in this photo