Math, asked by akbarali7142, 10 months ago

how to find the length of the diagonal of a triangle with 2 sides

Answers

Answered by ayushkanand06

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:

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