Which measurements could NOTrepresent the side lengths of a right triangle?
2 answers:
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Answer:
Step-by-step explanation:
Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR
From the diagram given
TR = UW
Given
TR = 50
UW = 3z+14
Equate and find z;
3z+14 = 50
3z = 50-14
3z = 36
z = 36/3
z = 12
VW = RS
Given
VW = 27
RS = 5y - 33
Equate
5y-33 = 27
5y = 27+33
5y = 60
y = 60/5
y = 12
Also TS = UV
TS = 53
UV = 12x+7
Equate:
12x-7 = 53
12x = 53+7
12x = 60
x = 60/12
x = 5
Hence x = 5, y = 12 and z = 12
x = 70°
<u>Explanation</u> :
To find : Value of x
Here, given angles are :
35°, 75° and x
Knowledge Required to solve it :
The sum of all the angles of a triangle is 180°.
Now,
35°+75°+x=180°
⇒110°+x=180°
⇒x=180°-110°
⇒x=70°
.°. x=70°