Find the value of r in the triangle shown below.

(A) Square root of 65

Step-by-step explanation:

We can use Pythagorean Theorem for this, as a^2 + b^2 = c^2, that means:

4^2 + 7^2 = x^2, so 16 + 49 = x^2, add 16 and 49 and you get 65.  Remember though, x was squared, so we have to find the square root of 65. Making it the square root of 65 or (A) the answer.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

this answer is !