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.

Answer 1

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.