Question

The length of the hypotenuse of a right triangle exceeds the base by 2cm and exceeds twice the lengths of altitude by 1cm . Find the sides of the right triangle

Answer 1

Answer:

root 2 is the correct answer

Answer 2

Answer:

8

Step-by-step explanation:

et hypotenuse be a

Given, base = a-2               ---------------- (1)

Given, altitude = (a-1)/2.       ---------------- (2)

By Pythagoras theorem

a^2 = (a-2) + ((a-1)/2)^2

a^2 = (a^2-2a+1)/4 + a^2-4a+4  

4a^2 = a^2-2a+1+4(a^2-4a+4)

4a^2 = a^2-2a+1+4a^2-16a+16

a^2 - 18a + 17 =0

(a-17)(a-1) = 0

a = 17

Substitute a = 17 in (2) we get

and lenght of each side = 17 - 1/2

                                        = 16/2

                                        = 8