Question

4. The given figure shows a quadrilateral ABCD
in which AD = 13 cm, DC = 12 cm, BC = 3
cm and ZABD = ZBCD = 90°. Calculate the
length of AB.
​

Answer 1

Answer:

4

Step-by-step explanation:

${db}^{2} = {cb}^{2} + {cd}^{2}$

${db}^{2} = {12}^{2} + {3}^{2}$

${db}^{2} = 153$

${ad}^{2} = {db}^{2} + {ab}^{2}$

${13}^{2} = 153 + {ab}^{2}$

${ab}^{2} = 169 - 153$

${ab}^{2} = 16$

=> ab=4