How many unique triangles can be made when one angle measures 90° and another angle is half that measure?

When one angle measures 90° and another angle is half that measure i.e. the measure of the second angle is 45° and hence the measure of the third angle is 45° ( subtract addition of 90 and 45 from 180)

" You can have many different length combinations for a triangle and still have the same angles in the triangles. If you know all the 3 angles (make sure they sum to 180), then you can form an Infinite number of triangles "

Martaholder20id Martaholder20id · Answer 2

Answer:

15 unique triangles can be made.

Step-by-step explanation:

Given : A triangle has one angle measures 60° and another angle is an obtuse angle .

To find : How many unique triangles can be made ?

Solution : Since we know, that sum of all three angle of a triangle is 180°

One angle is 60°,

Second angle is obtuse angle(means angle is greater than 90°) then the third angle is acute angle(means less than 90°) This means the third angle is sum of two acute angle is 30° So, The possible sum is (1+29),(2+28),(3+27),........(15+15) Therefore, The possible ways the triangle can form is 15 ways. Hence, 15 unique triangles can be made.

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