Question

4. the sides of a triangle are in the extended ratio 2:6:7. if the perimeter of the triangle is 45 inches, then what is the length of the shortest side?

5. the measures of the angles of a triangle are in the extended ratio 17:16:12. what is the measure of the largest angle?

6. what is the value of X in the proportion?
`(2x+7)/(3x-4)`=
`(11)/(2)`

Answer 1

Explanation:

4. 2/ 15 x 45/1 = 90/15

=6inches

( 15 is the total of the ratio)

5. Sum of angles in a triangle in 180

Total of the ratio is 17+16+12 = 45

Largest angle is 17/ 45 x180/1 = 68 degree

Ans 68degrees

6. 2x + 7/ 3x - 4 = 11/2

Cross multiply

2( 2x + 7) = 11(3x - 4)

Expand the equation

4x +14 = 33x - 44

Subract 4x from both sides

14 = 29x - 44

Add 44 to both sides

58 =29x

Divide both sides by 29

X =2