What is the area of a 45-45-90 triangle, with a hypotenuse of 8mm in length?
The formula for calculating the area of a triangle is
Thanks to the fact that this is a 45-45-90 triangle the base of the triangle and the height of the triangle are equal. So we simply need to find the values of the two sides and plug them into the formula.
We have the length of the hypotenuse, so we can use the pythagorean theorem to calculate the length of the two sides.
(we know the area is going to be measured in
We can simplify here, because we know the two remaining sides are equal. So we're just going to solve for Both non-hypotenuse sides of the triangle are
By signing up, you agree to our Terms of Service and Privacy Policy
The area of a 45-45-90 triangle can be calculated using the formula A = (1/2) * leg^2, where leg represents the length of one of the legs of the triangle. In a 45-45-90 triangle, the legs are congruent, so if the hypotenuse has a length of 8mm, each leg will have a length of 8 / √2 mm. Substituting this value into the formula, we get A = (1/2) * (8 / √2)^2. Simplifying, we find A = (1/2) * (64 / 2) = 16 square millimeters. Therefore, the area of the 45-45-90 triangle with a hypotenuse of 8mm is 16 square millimeters.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- The base of a triangular pyramid is a triangle with corners at #(2 ,5 )#, #(6 ,4 )#, and #(7 ,8 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?
- What is the area of a rectangle with length #(2x+2)#, width #(x)# and a diagonal of 13?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #9 # and the height of the cylinder is #12 #. If the volume of the solid is #72 pi#, what is the area of the base of the cylinder?
- A parallelogram has a 140 degree angle and sides of 3 cm and 7 cm long. What is the area of the parallelogram?
- The area of a parallelogram is 486 square cm. The sum of its bases is 54 cm. Each slanted side measures 14 cm. What is its height?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7