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never [62]
3 years ago
8

The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Mathematics
2 answers:
Ugo [173]3 years ago
8 0
For this we will want to use the Pythagorean Theorem. Lets plug our values in.

5^2+4^2=c^2

Our first step is to find out our squared values. 

25+16=^2.

You will then want to combine like terms.

41=c^2

Since C has a square, we will want to get rid of the squared. The opposite of squaring something is taking the square root of something.

We will then want to take the square root of 41.
Your final answer will be

C= 6.4
AVprozaik [17]3 years ago
3 0
You would use the Pythagorean threroem 4^2 + 5^2 = C^2. 16 + 25 = 41 the square root of 41 is 6.40
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3 years ago
Find the measure of angle 1
Lubov Fominskaja [6]
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

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Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

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