A triangle with side lengths 3, 4, and 5 is a right triangle by the converse of the Pythagorean Theorem.
What are the measures of the acute angles?

36.87° and 53.13°

Step-by-step explanation:

the legs of the right triangle are 3 and 4 and the hypotenuse is 5

tan x = 3/4

x = arctan (3/4)

  = 36.87° =  measure on one acute angle

90 - 36.87 = 53.13° = measure of the other acute angle

This is what I got for this question but if I did it wrong I'm sorry

Step-by-step explanation:

Formula- c^2 < a^2 + b^2

3^2 + 4^2 5^2

9+16= 25 25

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.