find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

answer: give more info

step-by-step explanation: