Determine if a triangle with side lengths 8, 14, and 15 is acute, right, or obtuse

Acute

Step-by-step explanation:

The Converse of the Pythagorean Theorem states that:

The side lengths 8, 14, and 15 are given. We can assume the hypotenuse (or c) is the longest side length, so it is 15.

It doesn't matter which order of the numbers are plugged in for a and b, so a and b will be 8 and 14.

Now we have to add and to see if the sum is greater than, less than, or equal to 15 (c).

Calculate the rest of the problem.

We have to find what is before we can make a decision using the Converse of the Pythagorean Theorem.

260 () is greater than 225 (). This means that the triangle is acute because .

jml angle lkj & angle mj = lm

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !