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gladtobesmart123
21.10.2020 •
Mathematics
The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C
Solved
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Ответ:
The order of the angles of Δ ABC from smallest to biggest is
∠B < ∠C < ∠A ⇒ B
Step-by-step explanation:
There is a fact about a triangle
The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angleLet us use this fact to solve our question
In Δ ABC
∵ AB = 10 inches
∵ BC = 14 inches
∵ AC = 8 inches
→ Find the longest and shortest sides
∴ BC is the longest side
∴ AC is the shortest side
∵ BC is opposite to ∠A
∴ ∠A is the biggest angle in measure
∵ AC is opposite to ∠B
∴ ∠B is the smallest angle in measure
∴ The order of the angles of Δ ABC from smallest to biggest is
∠B < ∠C < ∠A
Ответ: