Sure! Here are four geometry questions related to triangles, complete with drawings.

Question 1: Area of a Triangle

Question: Given a triangle with base $b = 8$ units and height $h = 5$ units, find the area of the triangle.
Drawing:

       /\
      /  \
  h  /    \ b
    /______\
      base

Question 2: Triangle Inequality Theorem

Question: For a triangle with sides $a = 7$ units, $b = 10$ units, and $c = 15$ units, verify if the triangle inequality theorem holds.
Drawing:

     /\
    /  \
 a /    \ b
  /______\
      c

Question 3: Pythagorean Theorem

Question: In a right triangle, one leg is $a = 9$ units and the other leg is $b = 12$ units. Find the length of the hypotenuse $c$.
Drawing:

      /|
     / | 
    /  | b
   /   |  
  /____|  
     a

Question 4: Angle Sum Property of a Triangle

Question: In triangle ABC, if angle $\angle A = 40^\circ$ and angle $\angle B = 75^\circ$, find the measure of angle $\angle C$.
Drawing:

      B
     / \
    /   \
   /     \
A/_______\ C

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Would you like me to explain any of these problems in detail or provide solutions?

Related Questions:

1. How can the area of a triangle be calculated using different formulas?
2. What is the significance of the Pythagorean Theorem in triangle geometry?
3. How can we apply the triangle inequality theorem in different triangle types?
4. How do we determine whether a triangle is right-angled or not?
5. What other geometric properties are there related to angles in triangles?

Tip: Always double-check the given values when solving geometry problems, especially for properties like the Pythagorean Theorem or area formulas!