Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the right triangle shown, the length of
bar(AC)=6 and the length of
bar(BC)=4. What is the length of
bar(AB) ?

In the right triangle shown, the length of $\overline{A C}=6$ and the length of $\overline{B C}=4$ . What is the length of $\overline{A B}$ ?

View step-by-step help

View step-by-step help

Evaluate expression when two complex numbers are given

Full solution

Q. In the right triangle shown, the length of

\overline{A C}=6

and the length of

\overline{B C}=4

. What is the length of

\overline{A B}

?

Given right triangle: We are given a right triangle with sides $AC$ and $BC$ , and we need to find the length of the hypotenuse $AB$ . We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse ( $c$ ) is equal to the sum of the squares of the lengths of the other two sides ( $a$ and $b$ ). The formula is $c^2 = a^2 + b^2$ .
Apply Pythagorean theorem: Substitute the given lengths into the Pythagorean theorem. Let $AB$ be $c$ , $AC$ be $a$ , and $BC$ be $b$ . $\newline$ $c^2 = a^2 + b^2$ $\newline$ $c^2 = 6^2 + 4^2$
Substitute lengths: Calculate the squares of the given lengths. $c^2 = 36 + 16$
Calculate squares: Add the results to find $c^2$ . $\newline$ $c^2 = 52$
Add results: Take the square root of both sides to solve for $c$ . $c = \sqrt{52}$
Take square root: Simplify the square root. $\newline$ c = $\sqrt{4\times 13}$ $\newline$ c = $2\sqrt{13}$

More problems from Evaluate expression when two complex numbers are given

Question

\newline

8i + 6i

\newline

\newline

Write your answer in the form

a + bi

\newline

\underline{\hspace{1cm}}

\newline

Posted 2 months ago

Question

Find the complex conjugate of the given number.

\newline

4 + 10i

\newline

\newline

Write your answer in the form

a + bi

\newline

Posted 2 months ago

Question

\newline

\frac{{-4i}}{{-9i}}

\newline

\newline

Write your answer in the form

a + bi

. Reduce all fractions.

\newline

\_\_\_\_\_

\newline

Posted 2 months ago

Question

Combine the like terms to create an equivalent expression.

\newline

7k-k+19=\boxed{\phantom{0}}

Posted 4 months ago

Question

Apply the distributive property to factor out the greatest common factor.

\newline

9+12 n=

Posted 1 month ago

Question

Solve the equation.

\newline

\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}

Posted 4 months ago

Question

What is the amplitude of

y=-\sin (8 x-3)+5

\newline

Posted 2 months ago

Question

What is the period of

\newline

y=4 \sin (-2 x+7)-1 \text { ? }

\newline

Give an exact value.

\newline

Posted 2 months ago

Question

3 \cdot(3+20 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

Posted 4 months ago

Question

(35-23 i)+(13+25 i)=

\newline

Express your answer in the form

(a+b i)

Posted 2 months ago