Right-Angled Triangles III

Submitted by vladimir.arzt on Fri, 10/18/2024 - 23:34

SubArea:

Project ID:

7500000090

Question:

In the first column, the given side lengths specify a right triangle

A B C

with a right angle at vertex

C

(see the picture). In the other two columns, the measures of the angles at vertex

A (α)

and vertex

B (β)

are given, rounded to whole degrees. Match each triangle to the measures of its angles

α

and

β

Unfolding Image:

Header 1:

Triangle

A B C

Header 2:

Measure of angle

α

Header 3:

Measure of angle

β

Text 11:

\begin{aligned} a & = 2, 7 \\ b & = 4, 0 \end{aligned}

Text 21:

34^{\circ}

Text 31:

56^{\circ}

Text 12:

\begin{aligned} a & = 3, 5 \\ b & = 8, 0 \end{aligned}

Text 22:

26^{\circ}

Text 32:

64^{\circ}

Text 13:

\begin{aligned} a & = 5, 1 \\ b & = 12, 5 \end{aligned}

Text 23:

66^{\circ}

Text 33:

24^{\circ}

Text 14:

\begin{aligned} a & = 8, 8 \\ b & = 10, 5 \end{aligned}

Text 24:

40^{\circ}

Text 34:

50^{\circ}

Text 15:

\begin{aligned} a & = 4, 3 \\ b & = 7, 1 \end{aligned}

Text 25:

53^{\circ}

Text 35:

37^{\circ}

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