ICSE Class 10 Answered

Writing Questions

Asked by Rayeesa | 29 May, 2018, 07:49: AM

Expert Answer

A(-5, 4), B(-1, -2) and C(5, 2)

begin mathsize 16px style AB equals square root of open parentheses negative 5 space plus space 1 close parentheses squared plus open parentheses 4 space plus space 2 close parentheses squared end root space equals space square root of 16 space plus space 36 end root equals square root of 52 space equals space 2 square root of 13 BC space equals space square root of open parentheses negative 5 space minus space 1 close parentheses squared plus open parentheses negative 2 space minus space 2 close parentheses squared end root space equals space square root of 36 space plus space 16 end root space equals square root of 52 space equals space 2 square root of 13 AC space equals space square root of open parentheses negative 5 space minus space 5 close parentheses squared plus open parentheses 4 space minus space 2 close parentheses squared end root space equals space square root of 100 space plus space 4 end root space equals square root of 104 space AB squared space plus space BC squared space equals space 4 cross times 13 space plus space 4 cross times 13 space equals space 104 space rightwards double arrow AB squared space plus space BC squared equals space AC squared end style

ABC is right angled triangle at B.

Let coordinate of D are (x, y)

Using

midpoint of AC = Mid point of BD

we get x = 1, y = 8

D (1, 8)

Find AC and BD using distance formula we get AC = BD

Diagonals are equal of a square.

Hence, ABCD is a square.

Answered by Sneha shidid | 29 May, 2018, 09:32: AM

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