What is the length of a diagonal of a square with sides 16 ft long? Round to the nearest tenth.

&

The length of the hypotenuse of an usosceles right traingle is 30 meters. Find the area of the triangle. Round to the nearest tenth, if necessary.

Any help?

The diagonal forms two right triangles with sides of 16 ft. Call those sides A and B and the diagonal (the hypotenuse) is C.
Then A^2 + B^2 = C^2.

For the second one, do you mean isosceles? I don't know what a usosceles right triangle is. Perhaps you can tell me.

I'm sorry, I meant Isosceles.

I done a^2+b^2=c^2 and I got 512. What do I do after that?

a^2 + b^2 = c^2
16^2 + 16^2 = c^2
256 + 256 = 512 = c^2
So extract the sqrt of both sides.
Then c = sqrt 512? Right?
I'll let you extract the sqrt.

I will look at the othrer question in a separate post.

a^2 + b^2 = c^2
But we know it is an isosceles triangle; therefore, a = b.
a^2 + a^2 = c^2
2a^2 = c^2 = 30^2
Solve for a.
Post your work if you get stuck. That will make it easier to see where you go wrong but I think you can take it from here.

i got 900.

So I'm assuming that's my answer.

900 is not right. Show me how you got it.

a^2 + a^2 = c^2
which would be 30^2 + 30^2 = 900^2.

Where am I messing up.

a^2 + a^2 = c^2
which would be 30^2 + 30^2 = 900^2.

You didn't finish. You stopped part way through.
a^2 + a^2 = c^2
2a^2 = 30^2
2a^2 = 900
a^2 = 900/2
a^2 = 450
I'll let you finish (of course 450 is not the answer.)
Check your work by substituting what you find for a into
a^2 + b^2 = and see if it is 900.

i really need help n geometry. the thing with it is i can't understand the measuring the shapes.

The diagonal derives from D^2 = 16^2 + 16^ or D = sqrt(16^2 + 15^2.

The sides of the isosceles right triangle with hypotenuse 30m derves from the same expressio. Being isosceles, the equal acute corner angles are 45º.
Since the triangle is isosceles, eaxh side is 30(sin45º)= 21.213...

The area is then A = (21.213)^2/2.

1. 👍 0
2. 👎 0
3. 👁 122

## Similar Questions

1. ### Square roots

The diagonal of a square has length square root 2 X s, where s is the length of a side of the square. What is the length of the diagonal in a square with sides that are 13 cm? Round your answer to the nearest tenth.

2. ### Math

1. Turning a diagram of your square with the lengths of the sides on it. See grid paper to sketch. Sketch it on the grid paper below. Light each block represent an inch. Draw two sides of the square. Make sure they intersect and

asked by Anonymous on September 30, 2018
3. ### Analytic Geometry

A square is a quadrilateral with four equal sides. The area of a square is equal to square of its sides. The diagonal of a square is a line segment joining any two non-consecutive side. Find the area of a square and the length of

asked by Jnr John on August 10, 2014
4. ### Geometry

A lined napkin,in the shape of a square,has sides 9-inches long.if the napkin is folded along the diagonal,what is the length of the diagonal ?

asked by Raina on January 16, 2013

The length of a rectangle is 4 m less than the diagonal and the width is 7 m less than the diagonal. If the area is 76 m2, how long is the diagonal? Round your answer to the nearest tenth.

asked by lisa on July 8, 2013
6. ### Algebra

The length of a rectangle is 3 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 84 m2, how long is the diagonal? Round your answer to the nearest tenth.

asked by Devan on June 4, 2015
7. ### Math

Betty decides to compare the diagonals of both the square and rectangular tables customers will use in the coffee shop. Her measurements show that the square tables have a side length of 34 inches and the rectangular tables are 29

asked by Kim on November 7, 2017
8. ### Pre-Calculus

A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal.

asked by starmario12 on November 10, 2015
9. ### geometry

The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the

asked by Bob on July 26, 2017
10. ### Geometry- Preferably Ms. Sue

Lucinda wants to build a square sandbox, but she has no way of measuring angles. Which of the following explains how she can make sure the sandbox is square by measuring only length? A)Arrange four equal-length sides, so the

asked by BaileyBubble on December 13, 2012

More Similar Questions