body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

MH

McGraw Hill Integrated II, 2012 View details

5. The Triangle Inequality

Finish the assignment

Continue to next subchapter

Exercise 61 Page 452

Consider the properties of isosceles triangles.

x=7
SR=RT=24, ST=19

Practice makes perfect

To find the value of the variable x and the unknown sides, note that the given triangle is a isosceles triangle. We know that this is a triangle with two congruent sides. By the markings on the sides of the triangle, we can see that SR≅RT.

If two sides of a triangle are congruent, then their measures are equal. SR =& RT ⇓ 4x-4=& 3x+3 Let's now solve the above equation to find the value of x.

4x-4 = 3x+3

▼

Solve for x

SubEqn

LHS-3x=RHS-3x

x-4 = 3

AddEqn

LHS+4=RHS+4

x=7

Finally, we can find the measures of the unknown sides of the triangle.