Answer:
What is the longest side?
square root of 1700
What is the square of the longest side?
1700
What is the sum of the squares of the two shorter sides?
1700
Does the window frame form right triangles?
Yes, the sum of the square of the two shorter sides equals the square of the longest side.
The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.
A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. ..... (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. .....(case 2)
Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.
Answer:
A. 104.35
Explanation:
794.1 ÷ 7.61 = 104.34954
Round off to two decimal places:
104.349
round 4 up to 5 because the next number is greater than 5:
9 > 5
So
104.35