Find the area of a triangle given the vertices?

Question

The Vertices of a triangle are determined by the intersections of the x-axis,y=x,4x+5y=15.

How do I find the area of this particular triangle?

Answer 1

in general you need to get the three intersecting points and calculate the side length of each side.

in this case, it's a little special that one side lies with x-axis and y=x intersects it at (0,0) so you can find the other two intersecting points easily

by sovling y=x 4x+5y = 15 => (x = 5/3, y = 5/3)

and y = 0 4x+5y=15 (x = 15/4, y = 0)

from this you know the base of the triangle is 15/4 and height is 5/3

so you can easily apply the basexheight/2 formula

Answer 2

Find the length of each of the lines, add them together and find the perimeter. Then, using "s" to represent half the perimeter, you use the formula:
√((s)(s-a)(s-b)(s-c))=A

where A is the area.

This formula is called Heron's Formula and you should look at it if you want a proof.

Answer 3

What is the height of a cylindrical prism whose volume is 141.3 cubic meters and whose diameter is 10 meters?        Please help me with this formula

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Answer 4

What is the height of a cylindrical prism whose volume is 141.3 cubic meters and whose diameter is 10 meters?  Please send the formula!

Answer 5

a=(b1+b2)xh/2

Answer 6

A right trangle with a base of 8 inches and a height of 6 inches what is the triangle?

Answer 7

Find the area of a parallelogram with vertices at A(–9, 5), B(–8, 10), C(0, 10), andD(–1, 5).

Answer 8

x^2+3+4x+5+2x=48

Answer 9

the area A of atriangle with base b and height h is given by A =,5bh Find the area when b= 17 m (meters) and h= 40m

Answer 10

find the area of a triangle with a base of 1 2/3 yards and height 3/4 yards

Answer 11

will be caculated

Answer 12

the way to find the area of a triangle is the (b1 multiplyed by b2 ddivided by 2)

Answer 13

with 3 degree angle at distance of 150 meters what will be the height ?

Answer 14

mali naman lahat yan :P

Answer 15

Find the surface area of a cone if the diameter of its base is 13.5 feet, and it has a slant height of 16.8 feet. Round to the nearest tenth.