We read your photo as:

In a DEF, DE = 12 cm , DF = 9 cm, and EF = 10 cm. Calculate the following: a) DE² + DF² b) EF²

October 11, 2026Mathematics

ScanSolve AI Answer

Answers

2 parts

144 \text{ cm}^2

144 \text{ cm}^2

3 steps

Here's the solution for :

Step 1: Identify the given side lengths of $\triangle DEF$ .
$DE = 7.2 \text{ cm}$
$DF = 9.6 \text{ cm}$
$EF = 12 \text{ cm}$

Calculate $DE^2 + DF^2$

Square the lengths of sides DE and DF.
$DE^2 = (7.2 \text{ cm})^2 = 51.84 \text{ cm}^2$ $DF^2 = (9.6 \text{ cm})^2 = 92.16 \text{ cm}^2$
Add the squared values.
$DE^2 + DF^2 = 51.84 \text{ cm}^2 + 92.16 \text{ cm}^2 = 144 \text{ cm}^2$
The value of $DE^2 + DF^2$ is $\boxed{144 \text{ cm}^2}$ .

Calculate $EF^2$

Square the length of side EF.
$EF^2 = (12 \text{ cm})^2 = 144 \text{ cm}^2$
The value of $EF^2$ is $\boxed{144 \text{ cm}^2}$ .

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question