Question

The length of the sides of a right-angled triangle are x, (x - 1) and (x - 2).
Find the value of x.​

Answer 1

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

Since, it is right angled triangle. So we by using Pythagoras Theorem

★ H² = B² + P² ★

longest side will be x

x2=(x-2) 2+(x-1)2

x2=x2+4-4x+x2+1-2x

x2=2x2+5-6x

0=2x2-x2+5-6x

x2-6x+5

x2-x-5x+5=0

x(x-1) -5(x-1)

(x-1) and (x-5)

x=5

because we can't take 1 when base and perpendicular cannot be less than 0

hyp=5

base=5-1=4

per=5-2=3

NOTE: those bolded "x2" in that 2 is square