how to determine measurement of longest side of 90 degree triangle?

Answer 1

longest side squared = sum of other two sides, both squared

Answer 2

The longest side in a 90o triangle is always the hypotenuse and this is calculated by pythagoras theorem which is

a^2 + b^2 = c^2

Where c is the hypotenuse and a and b are the other 2 sides

so a = 3 and b = 4

9 + 16 = 25

and the square root of 25 is 5 so c = 5

Answer 3

Let longest side be x and other sides "a" and "b"
x² = a² + b² is method used.
Example
Let a = 3 m and b = 4 m be two sides in a right angle d triangle. Find longest side (hypotenuse)
x² = 3² + 4²
x² = 16 + 9
x² = 25
x = 5 m

Answer 4

Follow the sequence below from 1 to 3: -
1. Measure the other two sides accurately.
2. Take square of the lengths of both sides and add.
3. Square root of the added quantity gives the measure of the longest side.

Answer 5

What else do you know about the triangle? (Please add to additional info if the following doesn't do the trick.)

Pythagoras's theorem
"The square on the hypotenuse is equal to the sum of the squares on the other two sides."
If the three sides of the right angled triangle are labelled a, b and c (with c the longest side or hypotenuse), then Pythagoras's theorem says that:
c² = a²+b² so c is the square root of (a²+b²)
See also

Answer 6

Pythagoras' Theorem: The square of the hypotenuse is equal to the sum of the squares of the other two sides.
(The hypotenuse is the longest side, opposite the right angle).

H² = B² + V² : Where H = Hypotenuse: B = Base & V = Vertical height.

Answer 7

Very uncertain what "a million triangle" or "2 triangles" ability. i will help with the 1st: specific, it could make a triangle because of the fact the factor opposite the 30º attitude in a R triangle is a million/2 the hypotenuse. 2) isn't conceivable: The factor opposite what must be the biggest attitude interior the proposed triangle is barely 3. 'No way for an adjacent factor to be 25. 3)... nicely, i don't recognize: look at a trig table and notice if the two the tangent (opp/adj) or the sine (opp/hyp) of 19º = 8.9/13.sixty seven I have no calculator with trig purposes - so i'm going to leave you with the above techniques... and the Pythagorean Theorem.

Answer 8

Classic Pythagoras - square of the hypotenuse (the longest side) is equal to the sunm of the squares of the other two sides. Do you have the lengths of the other sides?

Answer 9

The side facing the 30 degree angle is x, where x is a value.
The side facing the 90 dgree angle (hypotenuse) is two times x.
The side facing the 60 degree angle is x times the square root of 3.

Answer 10

It depends on what other information you have.

You need either
one of the other angles, plus the length of one side
or
the length of the two 'shorter' side.

If you have the lengths of the two shorter sides, use Pythagoras (a2 + b2 = c2)

If you have the angle and length then you need to use either the sin, cosin or tangent.
S = O/H
C= A/H
T = O/A