# Triangle SAS

Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.

Result

perimeter:  309.03 cm
triangle area:  2148.75 cm2

#### Solution:

Try calculation via our triangle calculator.

$\ \\ v = 110 \cdot \sin(130^\circ) = 84.26 \ cm \ \\ a_2 = 51 - 110 \cdot \cos(130^\circ) = 121.71 \ cm \ \\ c = \sqrt{v^2+a_2^2} = 148.03 \ cm \ \\ \ \\ S = \dfrac{ 51 \cdot v}{2} = 2148.75 \ cm^2 \ \\ \ \\ p = a+b+c = 309.03 \ cm$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. Cosine rule uses trigonometric SAS triangle calculator. See also our trigonometric triangle calculator.

## Next similar math problems:

1. Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
2. Triangle
Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and itsinterior angles.
3. Greatest angle
Calculate the greatest triangle angle with sides 197, 208, 299.
4. Four sides of trapezoid
In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles.
5. Triangle and its heights
Calculate the length of the sides of the triangle ABC, if va=5 cm, vb=7 cm and side b is 5 cm shorter than side a.
6. Diagonals
Calculate the length of the diagonals of the rhombus if its side is long 5 and one of its internal angle is 80°.
7. Side c
In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
8. Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
9. Angles by cosine law
Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
10. Inner angles
The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.
11. Circular railway
The railway is to interconnect in a circular arc the points A, B, and C, whose distances are | AB | = 30 km, AC = 95 km, BC | = 70 km. How long will the track from A to C?
12. A rhombus
A rhombus has sides of length 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus.
13. Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and 10 cm long arm. What are the length of medians?
14. Vector sum
The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
15. Triangle ABC
Triangle ABC has side lengths m-1, m-2, m-3. What has to be m to be triangle a) rectangular b) acute-angled?
16. Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point so that they are in balance. Determine the angles of the each two forces.
17. Laws
From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?