Question

What is the area of a right triangle with
Side a: 5√2
Side b: 4√2?

Answer 1

I got 10..
Formula to find right angle:
A=1/2BH

Answer 2

find the side and then use use heros formula.

Answer 3

side c.

Answer 4

You mean to find C?

Answer 5

yup

Answer 6

So i use: 5√2^2+4√^2=C^2

Answer 7

by using pythagourus theorm

Answer 8

18=C^2

Answer 9

So i do √18

Answer 10

thats 3redical2=c

Answer 11

2sides are in radical then 3rd should be also in radical. do you know radical mean?

Answer 12

Yes the X√x right?

Answer 13

yes great.

Answer 14

So it would be 9√2^2?

Answer 15

\[18=\sqrt{3*3*2}\]
\[18=\sqrt{9*2}\]
u know the square roof of 9 is 3 then
\[18=3\sqrt{2}\]

Answer 16

Ok.
So C=3√2

Answer 17

What is the Hero's formula?

Answer 18

therefor c=3redical2

Answer 19

A=5√2, B=4√2, C=3√2

Answer 20

do you know about Hero's formula ?

Answer 21

If it's a right triangle, you don't need Heron's formula . . .

Answer 22

I don't know Heron's formula. And yes, it is a Right Triangle

Answer 23

Multiply a×b then divide by 2.

Answer 24

Nice of you to join us, Cliff

Answer 25

*salutes*
Heron's formula is general for any kind of triangle where you don't feel like using trigonometry to find the height. It requires that you know all three sides first, so often, you'll need trigonometry anyway.

Answer 26

5√2 * 4√2= 40
40/2= 20

Answer 27

QED. Good job.

Answer 28

yes i am in that i am talking about Hero's formula not herons.

Answer 29

Okay, good to know, i googled Heron's formula. Hero formula=Heron's formula

Answer 30

Same guy. Heron is another name for Hero of Alexandria (en.wikipedia.org/wiki/Hero_of_Alexandria)

Answer 31

ok me too.

Answer 32

I also, noted down Heron's formula for later use :D
So the area: 20?

Answer 33

Thanks Muhammad !

Answer 34

Thanks cliff!

Answer 35

I have another question if one of you don't mind

Answer 36

its ok bro. u r welcome.

Answer 37

bro look at here what is says http://www.mathsisfun.com/geometry/herons-formula.html

Answer 38

Heron's formula is pretty cool, but I prefer using the Law of Sines and Law of Cosines better (provided you know at least 1 angle.

Answer 39

Step 2: Then calculate the Area using:

Answer 40

means we were dong right or wrong?

Answer 41

doing

Answer 42

i was doing without angles.

Answer 43

Area of any triangle is half the product of the base and height. For a right triangle, the two perpendicular legs are the base and height.

Answer 44

its easy for @Dallasb22

Answer 45

ok lets see by using herons formula.

Answer 46

Actually, you were doing it with angles because you saw the right angle and used Pythagoras' theorem for the third side (which was unnecessary).

Answer 47

Be my guest. Heron's formula is a beast and not worth my time.

Answer 48

Yes, receiving the third side is only necessary if we use Heron's formula.

Answer 49

Correct?

Answer 50

and if it wasn't a right angle, then you'd have to use law of cosines or law of sines to find the third side, and if you're going to use trig anyway, might as well solve for the height instead (which is easier) and you still don't need Heron's formula.

Answer 51

@CliffSedge Another right triangle,
A=2√3 c=4
What do i do here?

Answer 52

Ah true, Cause 1/2BH=Area

Answer 53

I'd still only need base and height.

Answer 54

If you now have a leg and the hypotenuse, use PT to find the other leg then same as before.

Answer 55

As a fun exercise just to practice some arithmetic, you can use Heron's formula to verify the area, or vice-verse.

Answer 56

what are the answers of 1st question?

Answer 57

Okay, so
2√3^2+b^2=4^2
6+B^2=16

Answer 58

@muhammad9t5 Answer for Q1 is 20

Answer 59

So i subtract 6 to both sides
B^2=10

Answer 60

B=√10

Answer 61

mm, something doesn't look right there..

Answer 62

They want my answer to be x√x

Answer 63

I think you forgot to square the 2 in (2√3)

Answer 64

Ahhhh. Thats my PROBLEM!!!

Answer 65

So it'd be 4√9 = 12

Answer 66

Side B= 2

Answer 67

So I would multiply A and B
2√3 * 2 =X
x/2=Area?

Answer 68

Giving me an area of: 4√3

Answer 69

did you divide by 2?

Answer 70

Ah man. *facepalm*

Answer 71

2√3 IS the area

Answer 72

Math teaches us to be precise and methodical, yes?

Answer 73

Hehe, yes it does.

Answer 74

I have 2 more if you don't mind.

Answer 75

They should be easy, they are equilateral.

Answer 76

I just am doing something wrong that I can't find..

Answer 77

And remember, that is more important than any particular kind of math problem. It's the problem-solving attitude, the patience, the planning, that is more important than whether or not you can solve this or that equation.

Answer 78

yes.

Answer 79

Wanna take this equilateral triangle, muhammad? I'm going to take a coffee break.

Answer 80

Yes, i know what you mean.
If you didn't catch me I would have gotten it wrong, because I was rushing.

Answer 81

All three sides: 5, so the perimeter: 15
What is the area?

Answer 82

Equilateral triangle area formula: √3/4 * (s^2)

Answer 83

So √3/4 * (25)

Answer 84

I get: 25√3/4