Calculate the length of BC given the information about quadrilateral ABCD and triangle ABD.

April 30, 2026Mathematics

ScanSolve AI Answer

April 30, 2026

Answer

17 $cm,$ AD = 16 $cm, and$ BD = 17$ cm.

Hey vokinyi623@gmail.com, good to see you again.

Here are the calculations for the quadrilateral ABCD:

a) The length of BC

Step 1: Find $\angle ADB$ in $\triangle ABD$ . Given $AB = 17$ cm, $AD = 16$ cm, and $BD = 17$ cm. Using the Law of Cosines in $\triangle ABD$ : $AB^2 = AD^2 + BD^2 - 2(AD)(BD) \cos(\angle ADB)$ $17^2 = 16^2 + 17^2 - 2(16)(17) \cos(\angle ADB)$

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

Qa. Without the use of valuation tables, calculate: the present value of N1=500,000 for 40 years @ 8%…QA sector with an angle of 45 degrees is cut out from a circle of radius 3.5cm, find the area of the…QDetermine the amount of money that uncle Collin pays to the money lending institution monthly. How m…QDetermine how much pocket money will each child get. Determine the amount paid for a child in the; f…QWhat is the percentage of 22 over 36

See all Mathematics questions →

Still have questions?

Quick Answer

Hey vokinyi623@gmail.com, good to see you again. Here are the calculations for the quadrilateral ABCD: a) The length of BC Step 1: Find ADB in ABD.

Asked on April 30, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 30, 2026

Hey vokinyi623@gmail.com, good to see you again. Here are the calculations for the quadrilateral ABCD: a) The length of BC Step 1: Find ADB in ABD. Given AB = 17 cm, AD = 16 cm, and BD = 17 cm. Using the Law of Cosines in ABD: AB^2 = AD^2 + BD^2 - 2(AD)(BD) ( ADB) 17^2 = 16^2 + 17^2 - 2(16)(17) ( ADB) 289 =