The Formula for the Area of a Triangle is: =1/2ℎ. Solve for .
1 answer:
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Difference between the area of the triangle and square is 25
Step-by-step explanation:
- Step 1: Find the area of the triangle given its 3 sides using the Heron's formula.
Area of the triangle = where s =
⇒ s = (6 + 8 + 10)/2 = 24/2 = 12
=
= =
= 24 sq. units
- Step 2: Find the area of the square with perimeter = 28 units.
Perimeter of the square = 4 × side = 28
⇒ Side of the square = 28/4 = 7 units
⇒ Area of the square = (side)² = 7² = 49 sq. units
- Step 3: Find the difference between the area of the square and triangle.
Difference = 49 - 24 = 25
Answer:
Step-by-step explanation:
So here we have a 45-45-90 triangle.
This a special right triangle were the sides across from the 45 degree angles can be considered x, while the hypotenuse is two square roots of x.
Here since we have the sides across from the 45 degree angle we can conclude that
So if we wanted the hypotenuse we would just plug in this value of x like so:
Therefore the hypotenuse is 18.