12. Find the length of a diagonal of a kite whose area is 176 cm and other diagonals is
16cm long
A. 22cm
C. 26cm
B. 24cm
D. 28cm​


Sagot :

[tex] \large\underline \bold{{SOLUTION}}[/tex]

Applying the formula of getting the area of a kite:

[tex]\longmapsto\sf{A = \frac{d_1×d_2}{2}}[/tex]

[tex]\longmapsto\sf{176 = \frac{16×d_2}{2}}[/tex]

[tex]\longmapsto\sf{176(2) = 16×d_2}[/tex]

[tex]\longmapsto\sf{352 = 16×d_2}[/tex]

[tex]\longmapsto\sf{\frac{352}{16}= d_2}[/tex]

[tex]\longmapsto\boxed{\sf{22= d_2}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • OPTION A (22cm)