Use the given values to find the missing lengths in the figure. If necessary, express your answer as a radical.

C = 7 cm and a = 4 cm
b= _ cm

√33 cm

Step-by-step explanation:

We know that this is a right triangle, which means that we can apply the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 4 and c = 7, so plug thes in to find b:

a² + b² = c²

4² + b² = 7²

b² = 49 - 16 = 33

b = √33

The answer is thus √33 cm.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.