how to find the length of the diagonal of a triangle with 2 sides
Answers
Answer:Solving for the Hypotenuse
Assuming you know the lengths of the two non-diagonal sides of the triangle, you can substitute that information into the Pythagorean Theorem and then solve for c.
Substitute Values for a and b
Substitute the known values of a and b – the two perpendicular sides of the right triangle – into the Pythagorean Theorem. So if the two perpendicular sides of the triangle measure 3 and 4 units respectively, you'd have:
32 + 42 = c2
Simplify the Equation
Work the exponents (when possible – in this case you can) and simplify like terms. This gives you:
9 + 16 = c2
Followed by:
c2 = 25
Take the Square Root of Both Sides
Take the square root of both sides, the final step in solving for c. This gives you:
c = 5
So the length of the diagonal, or hypotenuse, of this triangle is 5 units.
Step-by-step explanation: