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3 years ago

HOW MANY TRIANGLES CAN BE CONSTRUCTED WITH THE FOLLOWING MEASURES?

Mathematics

2 answers:

SOVA2 [1]3 years ago

7 0

AB=7.6 IS THE ANSWER OF THIS QUESTION

andrew-mc [135]3 years ago

4 0

Answer:

No triangle can be constructed with given measures.

Step-by-step explanation:

Refer the following figure.

AB = c = 7.6 cm

AC = b = 5.4 cm

∠ABC = B = 50°

Sine rule is given by $\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

Substituting

$\frac{5.4}{sin50}=\frac{7.6}{sinC}\\\\sinC=1.078$

Value of sinC is more than 1, which is not possible.

Hence no triangle can be constructed with given measures.

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