Question

If the sides of a right-angled triangle are of the length x, x + 1 and x – 7, then x =​

Answer 1

All the angles of any triangle sum up to 180 degree (angle sum property)

x+x+1+x-7=180(ASP)

3x-6=180

3x=174

x=58

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Answer 2

Answer:

In a right angle triangle

a^2 + b^2 = c^2

Then,

x^2+(x-7)^2=(x+1)^2

x^2+x^2+49-14x=x^2+1+2x

x^2-14x-2x+49-1=0

x^2-16x+48=0

(x−12)(x−4)=0  

Therefore the value of x can be both 4 and 12