Question

If the following DEF right triangle DE=9cm and ∆15cm. What is the length EF

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of EF in this right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (in this case DE) is equal to the sum of the squares of the other two sides.

In this triangle DEF, DE = 9cm and EF = 15cm. Let's denote the length of EF as x.

Using the Pythagorean theorem, we can write:
x^2 + 9^2 = 15^2
x^2 + 81 = 225
x^2 = 225 - 81
x^2 = 144

Taking the square root of both sides gives:
x = √144
x = 12 cm

Therefore, the length of EF in the triangle DEF is 12 cm.