The length of the side BC Iis equal to 28 units which we get by using congruency.
In other words, if the lengths of the sides and angles are the same for two shapes, they are congruent (the same in shape and size). When two triangles are congruent, it is frequently useful to know.
* In triangle ABC
∵ Angles B and C comes to be congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect same terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both the sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of side BC
∵ The length of side BC = 4x ⇒ substituting the value of x
∴ The length of side BC = 4 × 7 = 28 units
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What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vertex A lies above side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as 2 x plus 7. The length of side A B is labeled as 4 x minus 7. The length of side B C is labeled as 4 x.
