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Find the area.

This is a triangle DEN. Side NE has a length of 37 meters. Side DN has a length of 36 meters. The altitude from point D measures 30 meters.

A. 1100 m²
B. 555 m²
C. 338 m²
D. 1066 m²


Sagot :

The area of a triangle is the product of its height and base divided by 2. The area of [tex]\triangle DEN[/tex] is [tex]555m^2[/tex]

Given that:

[tex]NE = 37[/tex]

[tex]DN = 36[/tex]

[tex]h = 30[/tex] --- altitude from point D

The altitude from point D will meet with side NE.

So, we have:

[tex]Base = NE = 37[/tex]

[tex]Height = 30[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} \times base \times Height[/tex]

This gives:

[tex]Area = \frac{1}{2} \times 37 \times 30[/tex]

[tex]Area = 555[/tex]

Hence, the area of [tex]\triangle DEN[/tex] is [tex]555m^2[/tex]

Read more about areas of triangles at:

https://brainly.com/question/15442893

Answer:

B. 555 m²

Step-by-step explanation: