Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two tria

Question

2 years ago

9

ngles, or no triangle at all.
Solve each triangle that results.
a = 9.7, b = 49, Upper A = 26°

1 answer:

Nataliya [291] · Answer 1 · 2022-08-19T12:24:47+03:00

<h2>These measurements will not form a triangle.</h2>

Step-by-step explanation:

We have sine formula

$\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

Given

a = 9.7

b = 49

A = 26°

Substituting

$\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}\\\\\frac{9.7}{sin26}=\frac{49}{sinB}\\\\sinB=2.21$

Value of sin B is greater than 1, which is not possible.

Hence these measurements will not form a triangle.

Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ triangle, two​ tria