State the form of the law of cosines used to solve a triangle for which all three sides are given (SSS).

The following diagram shows a triangle ABS, where ${\displaystyle BC=5,\hat{B}={60}^{\circ },\hat{C}={40}^{\circ }}$. Calculate AB to the nearest whole number.

Is it possible to prove the converse of the Pythagoras theorem with out a geometric proof?.That is from $a^2+b^2=c^2$ to $\mathrm{\Theta }={90}^{\circ }$

Draw a triangle that satisfies the set of conditions. Then classify the triangle.
a triangle with three acute angles and three congruent sides.

The base of a pyramid is a right triangle with the longest side = 12cm. All non base edges are also equal to 12cm. And how can I find the height of the pyramid?

Given a right triangle. anglea is ${\displaystyle {51}^{\circ }}$. A line is drawn from anglec ${\displaystyle \left({90}^{\circ }\right)}$ to the hypotenuse, creating a ${\displaystyle 7^{\circ }}$ angle between the line and the cathetus adjusted to angleb. The cathetus adjusted to angel is 47cm. Find the length of the line drawn.

Triangles ABC and DEF are similar triangles. Use this fact to solve the exercise. Round to the nearest tenth.
Find the perimeter of triangle ABC.

Which statement applies to these triangles: -these triangles must be congruent -these triangles might be congruent -these triangles cannot be congruent