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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC.
B
"
45
4
45
9
D
9
3√2
18
9
9√3
BD
AB
9√//2
18√2
3

Drag the tiles to the boxes to form correct pairs Not all tiles will be used Determine each segment length in right triangle ABC B 45 4 45 9 D 9 32 18 9 93 BD A class=

Respuesta :

semsee45

Answer:

BD = 9

AB = 9√2

Step-by-step explanation:

The interior angles of a triangle sum to 180°.

Therefore, if angle BAD in right triangle BAD is 45°, then angle DBA is also 45°. This means that triangle BAD is a 45-45-90 triangle.

What is a 45-45-90 triangle?

A 45-45-90 triangle is a special right triangle in that the measures of its sides are in the proportion x : x : x√2 where:

  • x is the side opposite the 45 degree angle (legs).
  • x√2 is the side opposite the right angle (hypotenuse).

As triangle BAD is a 45-45-90 triangle, sides BD and AD are the same length.  Therefore, given the length of side AD is 9 units, BD = 9.

To find the length of AB (the hypotenuse), simply multiply the length of one of the congruent sides by √2. Therefore, AB = 9√2.

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