Question

Complete the triangle. Find all missing sides and angles. Round to the nearest tenth. Triangle DEF; DE=23 and FE=25

DF=?
Angle F=?
Angle E=?

help pls!!

Answer 1

DF= 9.8

Angle F= 42.6 degrees

Angle E= 23.1 degrees

Explanation:

so for the sides we can use the pythagorean theorem

23^2+b^2=25^2

23 squared is 529 and

25 squared is 625

529+b^2=625

subtract 529 from both sides

b^2=96

the square root of 96 is ~9.8

b=9.8

To find the angles you use sin, cos, or tan. Now that we know all three sides it doesn't matter which one you use so... pick your favorite.

sinf=23/25

f= ~66.9 degrees

tane= 23/25

e= ~23.1