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2 answers:
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Answer:
hypotenuse = 13.0 cm
Step-by-step explanation:
Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.
The <u>Pythagorean Theorem</u> states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:
Pythagorean Theorem: c² = a² + b²
Let c = hypotenuse
a = Leg₁ = 1 cm
b = Leg₂ = 13 cm
Substitute these values into the given formula to find the measure of the hypotenuse, c:
c² = a² + b²
c² = ( 1 )² + (13)²
c² = 1 + 169
c² = 170
Next, take the square root of c² and 170 to isolate c:
c = 13.04 or 13.0 cm
Therefore, the length of the hypotenuse is 13.0 cm.
Answer:
The value of c is 36
Step-by-step explanation:
Now, we fine the perfect square polynomial, we need to have the expression of the form:
so this can be written as a perfect square as:
Now the expression given to us is:
so when c is 36, we will get:
Now, this can be re-written as:
so here we can see that it is of the form:
so the perfect square is:
Hence, when c = 36 we get a perfect square.