Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.
<h3>Given information-</h3>
The triangle for the given problem is shown in the image below.
Form the figure the length of the each side is 
units.
As all the sides are equal thus the 
is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 
at point <em>R.</em>
<h3>Height of the triangle-</h3>
Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.
Now in the 
, the length of the hypotenuse is units and the length of the base is units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,
Solve for <em>h,</em>
<em />
<em />
<em />
<em />
Thus the height of the tringle is 24 units. Hence option 2 is the correct option.
Learn more about the equilateral triangle here;
brainly.com/question/4268382
Answer:
$135
Step-by-step explanation:
