Given a triangle with a 112^circ angle. The adjusted sides to this angle are equal. Find their length, if A=80cm^2.

Non-right triangles and trigonometry
asked 2021-02-03
Given a triangle with a \(\displaystyle{112}^{\circ}\) angle. The adjusted sides to this angle are equal. Find their length, if \(\displaystyle{A}={80}{c}{m}^{{2}}\).

Answers (1)


Let each of the sides be S.
The formula for the triangle with equal sides:
Isolate S:
Substitute \(\displaystyle\theta={112}^{\circ}{\quad\text{and}\quad}{A}={80}{c}{m}^{{2}}\) from the given:

Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2020-11-24
A triangle is given with one side equal to 18m (a) and angles laying on this side equal to \(\displaystyle{48}^{\circ}\) (A) and \(\displaystyle{37}^{\circ}\) (B). Find the ramaining angle (C) and sides (b and c).
asked 2021-01-13

Given a triangle with all angles equal and sides equal to:
1. \(3x-5\)
2. \(4x-30\)
3. \(2x+20\)
Find the value of x.

asked 2021-03-08
A parallelogram with diagonals equal to 56cm and 34cm. The intersect of the angles is \(\displaystyle{120}^{\circ}\). Find the shorter side's length.
asked 2020-11-26
Are triangles necessarily congruent, is:
1. Each side of one triangle is equal to one of the other triangle's sides.
2. If the two triangles are right and each cathetus of one triangle is equal to a cathetus from the other triangle.
3. If the angles of one triangle are equal to the angles of the other triangle.
asked 2021-01-31
Given a triangles. One angle is \(\displaystyle{42}^{\circ}\). Find the other angles if they're equal.
asked 2021-05-12
An electron is fired at a speed of \(\displaystyle{v}_{{0}}={5.6}\times{10}^{{6}}\) m/s and at an angle of \(\displaystyle\theta_{{0}}=–{45}^{\circ}\) between two parallel conductingplates that are D=2.0 mm apart, as in Figure. Ifthe potential difference between the plates is \(\displaystyle\triangle{V}={100}\ {V}\), determine (a) how close d the electron will get to the bottom plate and (b) where the electron will strike the top plate.
asked 2020-12-24
State the form of the law of cosines used to solve a triangle for which all three sides are given (SSS).
asked 2021-06-07
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
A(1,0,-1), B(5,-3,0), C(1,5,2)
Find \(\angle CAB,\angle ABC, \angle BCA\)
asked 2020-11-06
What does the combined length of any two sides of a triangle exceed?
asked 2021-06-03
A classmate drew an acute triangle with sides 9 in. and 12 in. What is the greatest possible whole number that can be the length of the longest side of the triangle in inches? Provide evidence.