What is the area of the Triangle DEF? D to E is 35 cm E to F is 35 cm F to D is 42 cm, The inside is 28Cm.
To find the area of the triangle DEF, we first need to find the height of the triangle. We can do this by drawing an altitude from vertex D to side EF.
Using the Pythagorean theorem, we can find the height as follows:
(35^2) - (14^2) = h^2
1225 - 196 = h^2
1029 = h^2
h ≈ 32.05 cm
Now that we have the height of the triangle, we can calculate the area using the formula:
Area = 0.5 * base * height
Area = 0.5 * 42 cm * 32.05 cm
Area ≈ 672.21 cm²
Therefore, the area of triangle DEF is approximately 672.21 cm².