[Triangles]

What is the area of the triangle that Veronica cut out?

abondantQ
2021-08-15
Answered

Veronica made a triangle by taking an 8 1/2 × 11 sheet of paper and putting a dot at the top. She then drew lines from the bottom corners to the dot and cut along the lines (see diagram).

[Triangles]

What is the area of the triangle that Veronica cut out?

[Triangles]

What is the area of the triangle that Veronica cut out?

You can still ask an expert for help

wornoutwomanC

Answered 2021-08-16
Author has **81** answers

Note that an $8\left(\frac{1}{2}\right)\times 11$ sheet of paper is measured in inches.

The area of a triangle with base b and corresponding height h is given by:$A=\left(\frac{1}{2}\right)bh$

Substitute b=8.5 in. and h=11 in.:$A=\left(\frac{1}{2}\right)\left(8.5\right)\left(11\right)$

$A=46.75{\in}^{2}$

The area of a triangle with base b and corresponding height h is given by:

Substitute b=8.5 in. and h=11 in.:

asked 2022-07-15

Finding the third side of a triangle given the area

Perimeter =$\frac{(a+b+c)}{2}$

Area = $A=\sqrt{p(p-a)(p-b)(p-c)}$

How do I simplify the above two equations to solve for c?

Perimeter =$\frac{(a+b+c)}{2}$

Area = $A=\sqrt{p(p-a)(p-b)(p-c)}$

How do I simplify the above two equations to solve for c?

asked 2021-11-23

Find the height of the triangle g to the nearest tenth.

asked 2021-09-08

Given a rectangle ($17.5cm\times 26.2cm$ ). Find the angle between the longer side and the diagonal.

asked 2022-07-07

Number of distinct right triangles formed by connecting vertices of a unit cube.

Suppose we have a unit cube in ${\mathbb{R}}^{3}.$

We want to count the total number of distinct right triangles formed by connecting vertices of the unit cube. I can see that the total number of right triangles simply on a face of the cube will be $4$ and since there are $6$ faces we have $4\times 6=24$ right triangles on the faces alone. Of course there are others across the cube's diagonals. I think the total will be $48$, due a symmetry across the diagonals, but am not entirely sure of my reasoning here, so I may be wrong.

Suppose we have a unit cube in ${\mathbb{R}}^{3}.$

We want to count the total number of distinct right triangles formed by connecting vertices of the unit cube. I can see that the total number of right triangles simply on a face of the cube will be $4$ and since there are $6$ faces we have $4\times 6=24$ right triangles on the faces alone. Of course there are others across the cube's diagonals. I think the total will be $48$, due a symmetry across the diagonals, but am not entirely sure of my reasoning here, so I may be wrong.

asked 2022-03-25

The area A of a triangle is given by bab sin 0, where a and b are the lengths of two sides and O is the angle between these sides. Suppose that a = 5, b = 10 and 0 = . (a) Find the rate at which A changes with respect to a if b and 0 are held constant. (b) Find the rate at which A changes with respect to 0 if a and b are held constant. (c) Find the rate at which b changes with respect to a if A and O are held constant.

asked 2021-11-18

Consider the non-right triangle shown below that has lengths of 1.6, 1.751 and 2.6 cm and interior angle measures of 0.72, $\alpha$ , and $\beta$ degrees.

a) What is the value of$\alpha$ ?

b) What is the value of$\beta$ ?

a) What is the value of

b) What is the value of

asked 2022-05-26

Expressing the arctan function in a different form?

$\mathrm{arctan}(\frac{1}{\omega})=\frac{\pi}{2}-\mathrm{arctan}(\omega )$

$\mathrm{arctan}(\frac{1}{\omega})=\frac{\pi}{2}-\mathrm{arctan}(\omega )$