Question

the given figure shows a rhombus in which OA = 3x + 7 ,OC = 5x-3 and OD = 10.Find the values of x and y​

Answer 1

Answer:

The answer will be:

x = 5; y = 24.16.

Step-by-step explanation:

Given things;

OA = 3x + 7

OC = 5x-3

OD = 10

To find : x and y

Solution : In rhombus, daigonals bisect each other equally at 90°. (i)

Thus, OC = OA

5x - 3 = 3x + 7

2x = 10

x = 5.

OA = 3(5) + 7;

= 15 + 7;

= 22 units.

Since OA and OD are intersecting at right angle, y equals; (see statement (i))

(AD)^2 = (OA)^2 + (OD)^2;

(AD)^2 = (22)^2 + (10)^2;

AD = root 584;

AD = 24.16 units

Thus, y = AD = 24.16

y = 24.16 units.

That's all.