Given a right triangle with legs a, b and hypotenuse c, solve for b if a= 72 and c= 75

a 21

b 3

c 441

d 104

The answer is a. 21.

Step-by-step explanation:

We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.

Here,

Hypotenuse of the given triangle(c)=75

Two sides of right angled triangle are:

a=72

b=?

Then,

for a given right angled triangle abc,

Using Pythagoras theorem,

Squaring on both sides,

or,

or,

or,

or,

∴

So, the value of b is obtained to 21 by the use of Pythagoras theorem.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !