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<h2>Area of Composite Shapes</h2>
To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.
For this triangle, we will need to know the formula to find the area of a triangle:
The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:
- Find the area of the large triangle
- Find the area of the little triangle
- Subtract the area of the little triangle from the large triangle
⇒ Plug in the values given for the base and height:
⇒ Plug in the values given for the base and height:
The area of the shaded region is .
Answer:
The measure of angle F is 67.6°
Step-by-step explanation:
In the right triangle DEF
∵ ∠E is the right angle
∵ Side DF is opposite to ∠E
∴ DF is the hypotenuse of the triangle DEF
∵ Side EF is the adjacent side of ∠F
∵ The cosine ratio =
∴ cos∠F =
∵ EF = 8 units
∵ DF = 21 units
→ Substitute them in the cosine ratio above
∴ cos∠F =
→ Use to find the measure of angle F
∵ m∠F =
∴ m∠F = 67.60731219 degrees
→ Round it the nearest tenth of a degree
∴ m∠F = 67.6°
∴ The measure of angle F is 67.6°