Respuesta :

JennyBelleSlipperyT

Answer:

12cm is the height

Step-by-step explanation:

7cm + 16cm = 23cm

138cm² x 2 = 276cm

276cm divide by 23cm = 12

Given :

  • AB = 7 cm

  • DC = 16 cm.

Area of trapezoid = 138 cm²

Solution :

[tex] \boxed{Area = \dfrac{1}{2} \times (a + b) \times h}[/tex]

  • [tex]138 = \dfrac{1}{2} \times (7 + 16) \times h[/tex]

  • [tex]138 \times 2 = 23 \times h[/tex]

  • [tex]h = \dfrac{276}{23} [/tex]

  • [tex]h = 12[/tex]

Height of Trapezoid = 12 cm

[tex]\mathrm{ \#TeeNForeveR}[/tex]