Answer:
19
Step-by-step explanation:
The T is not congruent but it is similar
•
the square and rectangle are not congruent and they are not similar
•
The circles are congruent and they are similar
• And the triangles are congruent and similar
Answer:
41 and 24
Step-by-step explanation:
x+y=65 -------(A)
x-y=17 -------- (B)
(A)+(B)
(x+y)+(x-y)=65+17
2x=82
x=41
(B)===>
41-y=17
y=41-17
y=24
The large triangle is isosceles, so that the two smaller triangles that appear inside the large one have bases of 12/2, or 6.
Let's see how x and y are related:
sin 60 degrees = opp/hyp = x/y = sqrt(3) / 2
and cos 60 degrees = adj/hyp = 1/2 = 6 / y. Then y = 12 (which should be no surprise, since the large triangle is equilateral).
Then: x/y = sqrt(3) / 2, or
x sqrt(3) x
---- = ----------- = ------ , so that 2x = 12sqrt(3), or x=6sqrt(3).
y 2 12
In summary,
x = 6√3
y=12
