2 years ago

Find the missing side of the right triangle. Round to the nearest tenth if necessary.

Mathematics

1 answer:

VashaNatasha [74]2 years ago

8 0

Answer:

7.1 cm

Step-by-step explanation:

As it is a right-angled triangle, you can use the Pythagoras theorem to work out the last side. The formula is A^2 x B^2 = C^2, where C is the hypotenuse (longest side).

5^2 is 25, and as you have two of those sides you double 25 to give you 50, which is C^2. To get C, you have to square root 50, which is 7.07106781187 cm or 7.1 cm to the nearest 10th.

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In right triangle DEF, it is known that Cos D = (12/13) and Cos F = (5/13). If FD = 39, then DE = ? Hint, draw the right triangl

AnnyKZ [126]

Answer:

The value of the line segment $ED$ is 36.

Step-by-step explanation:

The hypotenuse represents the longest side in the right triangle. In this case, FD represents the hypotenuse as it is a multiple of 13. Based on the trigonometric relations described in the statements, we get the following relationships by definition of cosines:

$\cos D = \frac{ED}{FD}$ (1)