yasmineariel06 yasmineariel06
  • 10-02-2021
  • Mathematics
contestada

ABCD is a trapezium
AD=10cm
AB=9cm
DC=3cm
Angle ABC=angled BCD=90degrees
Calculate the length of AC
Give your answer correct to 3 significant figures

ABCD is a trapezium AD10cm AB9cm DC3cm Angle ABCangled BCD90degrees Calculate the length of AC Give your answer correct to 3 significant figures class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 15-02-2021

Answer:

12.0 cm

Step-by-step explanation:

✔️First, find the height, BC, of the trapezium using Pythagorean Theorem.

BC² = 10² - (9 -3)²

BC² = 10² - 6²

BC² = 64

BC = √64

BC = 8 cm

✔️Find AC using Pythagorean Theorem:

AC² = AB² + BC²

AC² = 9² + 8²

AC² = 145

AC = √145

AC = 12.0415946 ≈ 12.0 (3 significant figures)

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