Answer:
13 cms
Step-by-step explanation:
By Pythagoras:-
x^2 = 12^2 + 5^2
x^2 = 144 + 25
x^2 = 169
x = √169
= 13
Answer:
x = 4 radical 3 / 3
Step-by-step explanation:
this is a 30-60-90 triangle
the side across from the angle 30 is L
the side across from the angle 60 is L√3
the side across from the angle 90 is 2L
we are given the side across from 60⁰ so we know that:
2 = L√3
we want to solve for L, so we must divide both sides by √3 (radical three)
2/√3 = L√3/√3
you would get 2/ √3 = L, because the radical three cancels out on the L side.
but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3
2 times √3 and √3 times √3
you get 2√3/√9
radical nine can simplify
2radical3/3 or 2√3/3
we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L
multiply the number infront of the radical by two and get
4√3/3
x=4 radical 3 divided by 3
9514 1404 393
Answer:
D.) a+2b
Step-by-step explanation:
The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...
A) 3(0) = 0 . . . even
B) 1 +3 = 4 . . . even
C) 2(1+0) = 2 . . . even
D) 1 +2(0) = 1 . . . odd
_____
<em>Additional comment</em>
These rules apply to even/odd:
- odd × odd = odd
- odd × even = even
- even × even = even
- odd + odd = even
- odd + even = odd
- even + even = even
Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.
The sum of the squares of the lengths is 58
The square of length of the hypotenuse is 58
From the question, we have
AB² = (-2-3)² +(7-5)²= 25+4 =29
BC² = (3-1)²+(5-0)²=4+25=29
AC² = (-2-1)²+(7-0)² = 9+49 = 58
Here we can see that,
AB²+BC² = AC²
The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).
the sum of the squares of the lengths = AB²+BC² =29+29 = 58
the square of length of the hypotenuse= 58
Pythagoras Theorem:
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.
To learn more about pythagoras theorem visit: brainly.com/question/343682
#SPJ9
