Question

A right triangle has hypotenuse p cm and one side q cm .if p-q=1,find the length of the third side in terms of q.

Answer 1

Answer:

Step-by-step explanation: Hai here is my answer

given hypotenuse =p

• one of the another sides=q
• And p-q=1 so p=q+1 and let the third side be c
• we know that by pythagorous theorem
• p²=q²+c² so( q+1)²=q²+c²
• c²=(q+1)² -q²=q²+1+2q-q²=1+2q
• c=√(1+2q)

Answer 2

Answer:

Step-by-step explanation:

p-q=1 so p=q+1 and let the third side be c

we know that by pythagorous theorem

p²=q²+c² so( q+1)²=q²+c²

c²=(q+1)² -q²=q²+1+2q-q²=1+2q

c=√(1+2q)