The diagonals of a rectangle are congruent so we can set the expressions equal to each other and solve for x:
8x+3=4x+7
8x=4x+4
4x=4
x=1
Using either expression, each diagonal measures 8(1)+3=11 feet.

asked 2021-12-11

Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 4 cm if two sides of the rectangle lie along the legs.

asked 2021-12-23

The of a 15-foot ladder is 3 feet farther up a wall than the foot is from the bottom of the wall. How far is the ladder from the bottom of the wall?

asked 2021-11-03

Find the length of the third side of the right triangle, if one side = \(\displaystyle{4}\sqrt{{3}}\), and the hypotenuse = 8.

asked 2021-12-17

In a 30-60-90 triangle, the shorter leg has length of \(\displaystyle{8}\sqrt{{{3}}}\) m. What is the length of the other leg and the hypotenuse?

asked 2021-05-28

Find the length of a diagonal of a \(4 m \times 12 m\) rectangle.

asked 2021-05-30

At what point do the curves \(r_1(t)=t,4-t,35+t^2\) and \(r_2(s)=7-s,s-3,s^2\) intersect? (x,y,z)= Find angle of intersection, \(\theta\), correct to the nearest degree.

asked 2021-10-29

At what point do the curves \(\displaystyle{r}_{{1}}{\left({t}\right)}={t},{4}-{t},{35}+{t}^{{2}}\) and \(\displaystyle{r}_{{2}}{\left({s}\right)}={7}-{s},{s}-{3},{s}^{{2}}\) intersect? (x,y,z)= Find angle of intersection, \(\displaystyle\theta\), correct to the nearest degree.