Answer:
O 16,30,34
Step-by-step explanation:
To confirm, use Pythagorean theorem to check.
(16)² + (30)² = (34)²
256 + 900 = 1156
=> It is correct
=> Therefore, this set of three lengths will form a right triangle
Answer:
The answer to this equation is 8
Step-by-step explanation:

<u>First: Subtract</u>

meaning that 5 is greater than 4.
You still need another number to make it equal than or greater than or equal to five.

Since 5 minus 4 does equal 1
You need somewhere to divide it from to get 1 so you can add up the 4 to it and get the answer to the equation.
<u>Lastly: Divide</u>


Now, if you do 8/8 which equals 1, 1+4 = 5; Now everything is, <u>equaled</u> up!
<u>So in conclusion...</u>

<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
By definition, the prism volume is given by:

Where,
Ab: base area
L: long
Substituting values we have:
Answer: The volume of the triangular prism is: