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Verified answer
A.5² + x² = 13²
x² = 169 - 25
x² = 144
x = 12
b.
x² + 24² = 25²
x² = 625 - 576
x² = 49
x = 7
c.
(5x)² + (12x)² = 26²
25x² + 144x² = 676
169x² = 676
x² = 4
x = 2
d.
(3x)² + (4x)² = 10²
9x² + 16x² = 100
25x² = 100
x² = 4
x = 2
e.
(6x)² + (8x)² = 50²
36x² + 64x² = 2500
100x² = 2500
x² = 25
x = 5
f.
(8x)² + (15x)² = 51²
64x² + 225x² = 2601
289x² = 2601
x² = 2601/289
x² = 9
x = 3
3.A) 5²+x²=13²
x²=169-25
x²= 144
x=√144
x= 12
B) x²+24²=25²
x²+576= 625
x²= 625-576
x²=49
x=√49
x= 7
C) (5x)²+(12x)²=26²
25x²+144x²=676
169x²=676
x²= 676/169
x²= 4
x=√4
x= 2
D) (3x)²+(4x)²=10²
9x²+16x²=100
25x²=100
x²= 100/25
x²= 4
x=√4
x=2
E) (6x)²+(8x)²=50²
36x²+64x²=2500
100x²= 2500
x²= 2500/100
x²= 25
x=√25
x=5
F) (8x)²+(15x)²=51²
64x²+225x²=2601
289x²=2601
x²= 2601/289
x²= 9
x=√9
x= 3
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