Answer:
The length of EF in the given right triangle is:
Option: B 24
Step-by-step explanation:
We are given a right triangle EFD with base DF=a=7 units.
Height EF=b
and Hypotenuse of the triangle ED=c=25 UNITS.
We know that in a right angled triangle we can apply Pythagorean Theorem.
According to Pythagorean Theorem we have:
[tex]c^2=a^2+b^2\\\\(25)^2=(7)^2+b^2\\\\625=49+b^2\\\\b^2=625-49\\\\b^2=576\\\\b^2=(24)^2[/tex]
on taking square root on both side we get:
[tex]b=\pm 24[/tex]
But as side of a triangle can't be negative.
Hence, b= 24 units.
