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Chapter 8: Q10. (page 292)

Find the value of x from the given figure.

Short Answer

Expert verified

The value of x is 9.

Step by step solution

01

Step 1. Given information.

The given figure is observed that a rectangle.

02

Step 2. Theorem used.

We use Pythagoras Theorem.

Pythagoras Theorem state that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

03

Step 3. Now find the value.

The opposite sides of the rectangle are equal.

AB=12DC=12

Calculation:

In 螖ADC

We use Pythagoras Theorem.

x2+122=152x2+144=225x2=81

Taking square root we get.

x=卤81=卤9

Since, distance is a positive quantity so we neglect negative sign.

Therefore, the value of xis9.

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Most popular questions from this chapter

Given: PQRSis a rectangle.

PS is the geometric mean between ST and TR.

Prove: 鈭�PTQ is a right angle.

A rectangle has diagonal 2 and length 3. Find its width.

Refer to the figure at the right.

If JL=9 and JM=6, find MK.

Simplify.

54

Given: PQRSis a rectangle.

鈭�A is a right angle.

Prove: BS路RC=PS路QR=PS2
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