Question

The circles are tangent to one another and each circle is tangent to the sides of the right triangle ABC with right angle ABC. If the larger circle has radius 12 and the smaller circle has radius 3, what is the area of the triangle?​
ahhhh Mooooo! where were you? hru?
@MonWenee (❁´◡`❁)​

Answer 1

Answer:

given: circle is tangent to one another

every circle is tangent to the side of 90 degree triangle ABC

radius of large circle= 12cm

radius of small circle= 3cm

to find : the area of triangle

start: first we should know the formula of triangle

1. that is : 1/2× base × height
2. area: 12 ab sin,
3. area: 12 bc sin A
4. area: 12 ca sin B

so the answer will be 486

this will be your answer

how are you unnie?

Answer 2

ANSWER:

The area of the triangle is $1344 sq.cms$.

Step-by-step explanation:

Given: Circles are tangent to one another.

             Each circle is a tangent to the ABC triangle.

             Larger circle radius $12cms$

              Smaller circle radius $3cms$

To find The area of the triangle.

Solution:

• $CAB = 2Arcsin3/5$
• $\frac{12}{AD} = \frac{3}{4}$
• $AD = 16$
• AB $= 28$
• Now $\frac{28}{AC} = cos 2 Arcsin\frac{3}{5}$
• AC $= 100$
• CB $\sqrt{100^{2} - 28^{2} }$
• CB $= 96$
• Area of triangle $= \frac{1}{2}$ × L× B

                                   $= \frac{1}{2}$ ×$96$ ×$28$

                                   $= 1344 sq.cms$

• Therefore the area of the triangle is $1344 sq cms$.

PROJECT CODE: #SPJ2