Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are 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 like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units
Because it is an isosceles triangle, the two longer sides are the same length. Therefore multiply 6.3 times 2.
To find the length of the base subtract 12.6 from 15.7 to get 3.1 cm.
Divide the number 135 and 5. It is going to be 27. Then you multiply 27 times 4. Then you get your answer which is 108.
Proportion set up....
small 4 ? small
----- --------
big 5 135 big
Cross multiply 4x135= 540
and then divide 540/5= 108
