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The largest angle of the triangle is 94.34 degrees and using the sine rule the shortest side is 98.34 cm

Q: What is the length of the shortest side of a triangle when its longest side is 162 cm and has two angles of 37.25 and 48.4 degrees?

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In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.

Largest angle is: 180-37.25-48.4 = 94.35 degrees Smallest angle is: 37.25 degrees Shortest side is: 162*sin(37.25)/sin(94.35) = 98.34cm to two decimal places

A right angles triangle, as one of the angles in the triangle is 90 degrees.

No because these are the angles of a scalene triangle

The third angle is 180° - (37.25° + 48.4°) = 93.45° The longest side is opposite the largest angle Shortest side is opposite the smallest angle Using the sine rule: a/sin A = b/sin B → shortest side/sin 37.25° = 162 cm/sin 93.45° → shortest side = 162 cm × sin 37.25°/sin 93.45° ≈ 98.2 cm

Related questions

The 3rd angle of the triangle is 94.35 degrees and by using the sine rule in trigonometry its shortest side works out as 98.34mm.

The longest side of the triangle will be opposite its largest angle which is 94.35 degrees and by using the Sine Rule its longest side works out as 5.93 cm.

Largest angle: 93.25 degrees Shortest angle: 37.25 degrees Shortest length: 3.6cm Longest length: 3.6*sin(94.35)/sin(37.25) = 5.93cm to two decimal places

Its largest angle is 94.35 degrees which is opposite its longest side and by using the trigonometry sine formula its longest side works out as 5.93 cm to two decimal places.

By using the sine rules in trigonometry the longest side of the triangle works out as 5.93cm with an area of 7.98 square cm

In a right triangle (a triangle where one of the angles is exactly 90 degrees) , the longest side is called the hypotenuse. In non-right triangles, the longest side has no special name.

In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.

Largest angle is: 180-37.25-48.4 = 94.35 degrees Smallest angle is: 37.25 degrees Shortest side is: 162*sin(37.25)/sin(94.35) = 98.34cm to two decimal places

The longest side is opposite to angle 94.35 degrees The shortest side of 3.6cm is opposite to angle 37.25 degrees The longest side is 3.6*sin(94.35) divided by sin(37.25) = 5.93cm

A right angles triangle, as one of the angles in the triangle is 90 degrees.

The sum of the interior angles of a triangle is 180 degrees. This is because one angle of a triangle is 60 degrees.

No because these are the angles of a scalene triangle