Question

if length of hypotenuse of a right angled triangle exceeds twice the length of other side by 1 cm,then the length of hypotenuse of a triangle is ​

Answer 1

Answer:

2.41 cm

Step-by-step explanation:

consider hypotenuse = x

other side be y

third side = √(x²-y²)

also, x = 2y + 1 (que. statement)

therefore, y = (x-1)/2

we know, angle opposite to y = 45°

now,

sin(45°) = x/y

1/√2 = y/x

x = √2y

x = √2((x-1)/2)

√2x = x-1

therefore x = 1/(1-√2) = -2.41

as distance is always positive,

x = 2.41 cm