Question

4. Find two consecutive positive integers, sum of whose squares is 365.
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 365​

Answer 1

Step-by-step explanation:

Hope it his helps u.........

Answer 2

Step-by-step explanation:

Just by simple thinking you get the answer as numbers 13 & 14 sum of their squares being 169 + 196 = 365.

But for systematic solution we have to make equation as follows. If x is one number, then 2n number is x+1

x^2 + x^2 + 2x + 1 = 365

2x^2 + 2x - 364 = 0

x^2 + x - 182 = 0

By quadratic equations formula

x = 13 Or x = - 14

Discarding negative value we get the answer as first number is 13, hence next number is 14

So the answer is numbers 13 & 14