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vladimir2022 [97]
3 years ago
11

Suppose you cut a square into two identical triangles what type of triangles will you make

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

Right angled isosceles triangle.

Step-by-step explanation:

To cut a square into identical triangle one  need   to draw a diagonal for the square.

Suppose ABCD is the square then AC is one diagonal.

The two triangles will be

ABC and ADC

ABC has sides AB , BC and AC

ADC has sides AD, DC, AC

Since ABCD is a square its sides AB, BC , CD , DA are equal hence

for triangle ABC and ADC

side AB , BC and AD, DC will be equal

also AC is common side hence third side of both triangle is also equal .

Hence  ABC and ADC are identical triangle.

___________________________________________

for  triangle ABC

two sides are same in length and third is different

for triangle ABC,  AB =  BC but AC is not equal to AB and AC

and angle ABC is right angled as it angle of square

As two sides are equal and one angle is right angled  

hence triangle ABC is right angled isosceles triangle

_______________________________________

for  triangle ADC

two sides are same in length and third is different

for triangle ADC,  AD= DC  but AC is not equal to AD and DC

and angle ADC is right angled as it angle of square

As two sides are equal and one angle is right angled

therefore triangle ADC is right angled isosceles triangle

_________________________________________________

To understand the solution we need to draw square ABCD and diagonal AC to have better visual understanding of solution.

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