The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.


So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.


Rounding this off to the nearest hundredth, we get x = 8.80 m.
Given:
A right angle triangle with angles 45, 45, 90 degrees.
Hypotenuse of the triangle =
mm
Base of the triangle = t
To find:
The value of t.
Solution:
In a right angle triangle,

Using this trigonometric ratio in the given triangle, we get




Therefore, the value of t is 7 millimetres.
Answer:
- D. They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
<em>Refer to attached</em>
The points are plotted and connected to make triangles
As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.
<u>Correct choice is D</u>
- They are similar by the definition of similarity in terms of a dilation.
Answer:
10cm (I think)
Step-by-step explanation:
2/3 = .66666666 x 6 = 4
4 +6 = 10