Two isosceles triangles have congruent base angles. The lengths of a leg and base of one triangle are 17 cm and 10 cm respectively. The length of the base of the other triangle is 8 cm. What is the length of the leg of the second triangle ?

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Answer:

Triangle 1:  Leg 17  Base 10

Triangle 2: Leg ???  Base 8

Set up a proportion:

17 / 10 = Leg / 8

Leg = 13.6 cm


Step-by-step explanation:


The length of the leg of the second triangle is 13.6cm. and this can be determined by using the properties of the triangle.

Given :

  • Two isosceles triangles have congruent base angles.
  • The lengths of a leg and the base of one triangle are 17 cm and 10 cm respectively.
  • The length of the base of the other triangle is 8 cm.

The length of the leg of the second triangle can be determined by using the following steps:

Step 1 - Let the length of the leg of the second triangle be 'a'.

Step 2 - According to the given data, the triangles have congruent base angles.

[tex]\dfrac{17}{10}=\dfrac{a}{8}[/tex]

[tex]17\times 8 = 10a[/tex]

[tex]a = \dfrac{136}{10}[/tex]

a = 13.6 cm

The length of the leg of the second triangle is 13.6cm.

For more information, refer to the link given below:

https://brainly.com/question/23790352

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