Question

If the difference between hypotenuse and perpendicular is 3 and their base is 9 cm find its hypotenuse and perpendicular

Answer 1

Answer:

Hypotenuse = 15

perpendicular = 12

Step-by-step explanation:

let the hypotenuse be X and perpendicular be Y

now, it is given that x - y = 3.

so, y = x-3

so we got hypotenuse = x and perpendicular =

x-3, base = 9.

now from Pythagoras theorem, we know that.

(hypotenuse) ^2 = (perpendicular) ^2 + (base) ^2

putting value in the formula we get:

(x)^2 = (x-3)^2 + (9)^2

x^2 = x^2 + 3^2 - 6x + 81 , it is done by the written formula.

{(a - b)2 = a2 - 2ab + b2}

x^2 = x^2 + 9 - 6x + 81

x^2 = x^2 - 6x + 90

here x square will be cancelled from x square

then the equation will be form:

0= -6x + 90

6x = 90

x = 90/6

x = 15.

so hypotenuse = 15

and perpendicular = x - 3

15-3

12.

HOPE IT WILL BE HELPFUL !!