I needs help pleaeee

Mathematics

2 answers:

Verdich [7]3 years ago

7 0

X=24

First you find the third side of the smaller triangle by using the Pythagorean theorem. You find that is it 100. Then you subtract that from 26 squared. After you get that, you square root the answer to get 24

ryzh [129]3 years ago

5 0

The answer is X=24 trust me

You might be interested in

PLZ HELP ASAP DIVIDE LINE SEGMENTS

Yuri [45]

A (4,8) and b (7,2) and let c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)

The distance between two points (x₁,y₁),(x₂,y₂) = d
$d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }$

The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
$2 * \sqrt{ (7-4)^{2} + (2-8)^{2} }$ = $3* \sqrt{ (x-7)^{2} +(y-2)^{2} }$
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6

The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations