Drawing Similar Triangle

Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.

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Calculation of an isosceles triangle.
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You need to know the following knowledge to solve this word math problem:

geometry

similarity of triangles

algebra

rearrange variables

planimetry

Pythagorean theorem
right triangle
triangle

themes, topics

geometry construction problems

Grade of the word problem

practice for 14 year olds
high school

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