Using the sine rule you can find the other two sides:
Final angle = 180° - (37.25° + 48.4°) = 94.35°
→ other two sides are opposite the 37.25° and 48.4° angles as the longest side is opposite the largest angle.
→ the other two sides are:
s1/sin 37.25° = 162mm / sin 94.35° → s1 = 162mm × sin 37.25°/sin 94.35°
and s2 = 162mm × sin 48.4°/sin 94.35°
→ the perimeter = 162mm + 162mm × sin 37.25°/sin 94.35° + 162mm × sin 48.4°/sin 94.35°
= 162mm (1 + (sin 37.25° + sin 48.4°)/sin 94.35°)
≈ 382 mm
It is 382 mm.
The sum(addition) of the measures of the three angles of a triangle is 180 degrees.
If all three angles of a triangle measure less that 90 degrees (if all three angles are acute), the triangle is an acute triangle. A triangle that has a right angle (an angle the measures exactly 90 degrees) is a right triangle. (The other 2 angles will be acute angles.) A triangle that has an angle that is greater than 90 degrees (an obtuse angle), is an obtuse triangle. (The other 2 angles will be acute angles.)
If you mean angles of 150 degrees, 20 degrees and 20 degrees then it is impossible to construct such a triangle because the angles in any triangle add up to 180 degrees and the angles given add up to 190 degrees.
The exterior sum of the angles of any polygon including a triangle is always 360 degrees.
The interior angles of a triangle add up to 180 degrees. The exterior angles of a triangle add up to 360 degrees.
Using the sine rule in trigonometry the perimeter of the triangle works out as 382cm rounded to the nearest integer
Its longest side of 162cm is opposite to its biggest angle which is 94.54 degrees and by using the sine rule its other sides are 98.34cm and 121.49cm. Therefore perimeter of the triangle is: 162+98.34+121.49 = 381.83cm
The largest angle then will be 94.35 degrees opposite the longest sides of 162cm and by using the sine rule of 120/sin(94.35) = b/sinB = c/sinC the perimeter of the triangle works out as 381.83cm rounded to two decimal places.
Using the sine rule in trigonometry the perimeter of the triangle is 381.83 cm and its area is 5956.67 square cm both rounded to two decimal places
The sum(addition) of the measures of the three angles of a triangle is 180 degrees.
Using the sine rule a/A = b/B = c/B the perimeter of the triangle works out as 382.02 cm with an area of 5965.8 square cm rounded to one decimal place.
how do you construct a triangle which has a perimeter of 120 and the base angles abc be 30 and 45 degrees
The sum of the 3 interior angles of any triangle ... no matter how large or small ... is always 180 degrees. This rule has no connection to the perimeter of the triangle. The perimeter may be one inch, less than one inch, 10 miles, more than 1,000 miles, etc., and the sum of the interior angles is always the same 180 degrees.
Its 3rd angle is 94.35 degrees and by using the sine rule in trigonometry its other sides are 98.34 cm and 121.49 cm and so therefore its perimeter is 162+98.34+121.49 = 381.83 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.
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.
A right angles triangle, as one of the angles in the triangle is 90 degrees.