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Untuk gambar berikut hitunglah nilai A, B, C, dan D!

Untuk gambar berikut hitunglah nilai A, B, C, dan D!-example-1
User Jos De Jong
by
3.3k points

1 Answer

11 votes
11 votes

Answer:

Draw all the three triangles and label them.

First triangle perimeter is 20 + c + a

The second is (20+15) + 70 + (30+a)

Third is (20+35+12) + d + (a+30+b)

Now we need to find scale factor (s.f) from on triangle to the other.

35/20 = 1.75 s.f.

Thus, 70/1.75 = c and it's 40

Now use pythag to find a

A = square root of 20^2 + 40^2

=44.72

(a+30) = 74.72

47/35 = 1.34 s.f.

70/1.34 = d and it's 52.13

Now pythag again to find b

A = square root of 47^2 + 52.13^2

^2 = 70.19

So, a+30+ b = 70.19

40+30 + b = 70.19

b= 70-70.19

b= 0.19

A=40

B=0.19

C=40

D=52.13

Hope this helps!

User Gabbar
by
3.1k points
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