What is the area of triangle RST?

What I usually do is to Separate the triangle into two in order to get two 90° triangle. So, the first one is triangle RUT and second is triangle SUT.
Area of triangle= 1/2 × length × width
Based on the graph, the dimension of a square is 1unit×1unit.
Area of triangle RST = Area of RUT + Area of SUT
=( 1/2 × 3 × 2)+(1/2 ×3×4)
=9 unit^2

Answer Link

DelcieRiveria DelcieRiveria · Answer 2 · 2019-05-16T10:43:26+02:00

Answer:

The area of triangle RST is 9 square units.

Step-by-step explanation:

Area of a triangle is

[tex]A=\frac{1}{2}\times base\times height[/tex]

The area of triangle RST is the sum of area of triangle RTU and STU.

From the given graph it is clear that, in triangle RTU, base RU=2 units, height TU=3 units. The area of triangle RTU is

[tex]A=\frac{1}{2}\times 2\times 3=3[/tex]

In triangle STU, base US=4 units, height TU=3 units. The area of triangle STU is

[tex]A=\frac{1}{2}\times 4\times 3=6[/tex]

The area of triangle RST is

[tex]Area(\triangle RST)=Area(\triangle RTU)+Area(\triangle STU)[/tex]

[tex]Area(\triangle RST)=3+6=9[/tex]

Therefore the area of triangle RST is 9 square units.