Question

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side KL. Round your answer to the nearest tenth.

Answer 1

Answer:

id 485 063 3859

pas 100200

Answer 2

The measure of side KL is 52.55 cm.

Given:

• Quadrilateral GHIJ is similar to quadrilateral KLMN.

To find:

• Find the measure of side KL, rounded to the nearest tenth.

Solution:

Concept to be used:

If two quadrilateral are similar, than ratio of their corresponding sides are equal.

Step 1:

Write the ratios of corresponding sides of quadrilateral.

As GHIJ is similarly to KLMN, so

$\bf \frac{GH}{KL} = \frac{HI}{LM} = \frac{IJ}{MN} = \frac{GJ }{KN}$

Step 2:

Find the side KL.

$\frac{IJ}{MN} = \frac{GH}{KL}$

it is given that

IJ= 11 cm

NM=34 cm

GH= 17 cm

$\frac{11}{34} = \frac{17}{KL}$

$KL = \frac{17 \times 34}{11}$

$\bf KL = 52.545454$

As we have to rounded it upto 2 decimal places.

So,

KL = 52.55 cm

Thus,

KL= 52.55 cm

Learn more:

1) If the lengths of the sides of a parallelogram are 13 cm and 10 cm and the length of one of its diagonal is 9 cm, then f...

https://brainly.in/question/11768543

2)A quadrilateral PQRS is drawn to circumscribe a circle. If PQ, QR, RS (in cm) are 5,9,8, then PS equals?

Options: 7,6,5,...

https://brainly.in/question/3466

#SPJ2