The theorems that apply are A(HL) D(SAS) E(LL)
<h3>What are similar triangles?</h3>
Two triangles are said to be similar if their corresponding angles are equal and their corresponding lengths are in the same proportion.
Analysis:
The two triangles are similar according to the HL theorem since the hypotenuse of the two triangles are equal and one of the sides is same in both triangles. HL theorem applies.
The two triangles are similar according to LL theorem since the other lengths apart from the hypotenuse are also equal.
since two sides of both triangles are equal and there is an included angle 90 degree between the equal sides, the triangles are similar based on SAS.
Learn more about similar triangles: brainly.com/question/2644832
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Answer:
option B : 12 degree
Step-by-step explanation:
The sum of angles in a triangle = 180 degree
Small box represents 90 degree
From the inner triangle
90 + angle y + 29 = 180 degree
90 + y + 29 = 180
119 + y = 180 (subtract 119 on both sides)
y= 61 degree
(y+x) is the top angle for bigger triangle
From the outer triangle , 90 + (y+x) + 17 = 180
We know y = 61
90 + (61+x) + 17 = 180
90 + 61 + x 17 = 180
168 +x = 180(subtract 168 on both sides)
x= 12 degrees
Answer:
V = 654.255 in^3
Step-by-step explanation:
6.7 in x 9.3 in x 10.5 in = 654.255 in^3 (cubic inches)
Answer:
25
Step-by-step explanation:
The mid-segment of the triangle is always parallel to the base and is half the length of the base
