The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7
1 answer:
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Step-by-step explanation:
2 : 3 = 6 : x ,
Ratio can be written as
2*3 = 6, we multiply top and bottom of fraction by 3
So value of x=9
4 : 7 = x : 42 ,
7*6 = 42, we multiply top and bottom of fraction by 6
So value of x=24
2x : 48 = 3 : 12,
\frac{3}{12}[/tex] =
2x= 12, so x= 6
12 : 15 = x : 20
,
we multiply top and bottom by 4/3
So value of x=16
Answer:
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees