Question
The longer base of an isosceles trapezium is 20 cm, its legs are 10cm. The legs of the trapezium are extended by 8 cm long to gain an isosceles triangle.Find the shorter base of the trapezium. Please help me:)
Answers
did you make a sketch?
I have a large isosceles triangle containing your original trapezium
The sides of the triangle are made up of the segments 10 and 8 for a total length of 18 each
I see a smaller isosceles triangle contained and similar to a larger isosceles triangle
let the smaller base be x
remember the sides of similar triangles are in the same ratio
so....
x/8 = 20/18
x = 8(20/18) = 80/9 or appr. 8.89 cm
I have a large isosceles triangle containing your original trapezium
The sides of the triangle are made up of the segments 10 and 8 for a total length of 18 each
I see a smaller isosceles triangle contained and similar to a larger isosceles triangle
let the smaller base be x
remember the sides of similar triangles are in the same ratio
so....
x/8 = 20/18
x = 8(20/18) = 80/9 or appr. 8.89 cm
thank u so much!:)
Related Questions
Two isosceles triangles have perimeters of 8 and 15 centimeters, respectively. They have the same ba...
1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that a...
The base of an isosceles triangle is 7cm longer than each of the legs. Find the legs if the perimete...
What do the sheep begin chanting to suppress any protest from the animals?
"Two legs are evil!"...