How many triangles can be constructed with angle measurements 134°,10°,36° ? exactly one triangle, more than one triangle, no

Question

2 years ago

15

triangles NEED HELP ASAP

2 answers:

Valentin [98] · Answer 1 · 2022-07-28T19:57:29+03:00

4 0

More than one triangles of different triangles of different sizes can be constructed with angle measurement of <span>134°,10°,36°</span>

DedPeter [7] · Answer 2 · 2022-07-28T22:22:02+03:00

Answer:

More than one triangle

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In a triangle the sum of its internal angles must be equal to $180$ degrees

In this problem

The sum of the internal angles is equal to

$134\°+10\°+36\°=180\°$

so

By the sum of the internal angles, we can construct a triangle

but

By the length of the sides keeping the same internal angles, we can construct infinite similar triangles

How many triangles can be constructed with angle measurements​ 134°,10°,36° ​? exactly one triangle, more than one triangle, no