Question

In a right-angled triangle ABC, side AC is 4 cm shorter than the hypotenuse and side BC is also 4 cm shorter than the hypotenuse, Find the dimensions of the triangle.

Answer 1

Answer:

1st SIDE : 12cm

2nd SIDE : 15cm

3rd SIDE : 24 cm

Step-by-step explanation:

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Answer 2

Let base =x

Perpendicular=x+4

Hypotenuse=x+8

In rt angle triangle

Bas^2+perp^2=hypotenuse^2

x^2+( x+4) ^2=(x+8) ^2

x^2–8x-48=0

By factoring

x=12 or -4

But x can't be negative

x=12

x+8=12+8=20

Hypotenuse=20 cm Answer

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