merlaj01
merlaj01 merlaj01
  • 03-03-2021
  • Mathematics
contestada

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
45 cm
20 cm
a
5 cm
b
3 cm

Work out the lengths of sides a and b Give your answers to 1 decimal place 45 cm 20 cm a 5 cm b 3 cm class=

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 03-03-2021

They are right triangles so you can use the Pythagorean theorem.

A = sqrt(5^2+3^2)

A = sqrt(25+9)

A = sqrt(34) (exact answer)

As a decimal it would be: 5.8

B = 45 = sqrt( 20^2 + b^2)

B^2 = 45^2-20^2

B^2 = 2025-400

B^2 = 1625

B = sqrt(1625)

B = 5sqrt(65) exact answer

As a decimal : 40.3

Answer Link
leahgibson1022
leahgibson1022 leahgibson1022
  • 03-03-2021

Answer:

Side length A is 5.8cm

Side length B is 40.3cm

Step-by-step explanation:

To find A:

5^2+3^2=34

square root of 34= 5.83...

round to 5.8

To find B:

45^2-20^2= 1625

square root of 1625= 40.3112...

round to 40.3

Answer Link

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