Given:
Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.
To find:
The measure of side QR.
Solution:
According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.
We know that, the area of a triangle is


Substituting the given values, we get



Divide both sides by 15.


Therefore, the measure of side QR is 24 cm.
If the two lengths are 7 and 3, then I believe the length of the hypotenuse would be approximately 7.62.
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:

The base area is one half times the triangle base times it's height, so:

The wedge of cheese is 7 inches tall.
This means that 
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that 
Volume:

Rounding, approximately 193 in.
Answer:
Each of the 5 children receive one fifteenth pie
Step-by-step explanation:
Given:
One third of a pie shared equally between 5 children.
To find:
Amount of the pie with each of the 5 children.
Solution:
Number of children = 5
Also, one third of a pie shared equally between 5 children.
So,
Amount of the pie with each of the 5 children

Hence, each of the 5 children receive one fifteenth pie.