jelenayuanyuan374
jelenayuanyuan374 jelenayuanyuan374
  • 18-03-2020
  • Mathematics
contestada

HELP!

Determine the missing lengths for the following triangles. Round to the nearest tenth.

HELP Determine the missing lengths for the following triangles Round to the nearest tenth class=

Respuesta :

shilpa85475 shilpa85475
  • 25-03-2020

The missing length of the triangle is 8.1 cm.

Solution:

Given triangle ACB is a right triangle.

AC = 4 cm, BC = 7 cm.

To find the length of AB:

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]AB^2=AC^2+BC^2[/tex]

[tex]AB^2=4^2+7^2[/tex]

[tex]AB^2=16+49[/tex]

[tex]AB^2=65[/tex]

Taking square root on both sides.

AB = 8.06

AB = 8.1

The missing length of the triangle is 8.1 cm.

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