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 ?

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 :

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.

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:

link

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)