pls and ty
#does anyone know what to do here ive been stuck
fathom cape
somber sedgeBOT
fathom cape
i tried doing cosine rule to get the angle opposite to A and got the area with 1/2absin C
and im trying to substitute the area to 1/2 bh is that right
cerulean locust
assuming A is 5 you could then just use sin=opposite/7
wheat verge
||By Heron's the triangle's area is 10√3. Then ½×8×h=10√3=>h=5√3/2.||
What is the area of that triangle?
restive haven
This is the correct solution , and the answer in decimal form would be 4.33.
dull current
Listen…. You need to take the length x and 8 -x . Then do Pythagoras for both the triangles. For sure both the triangles have same height, hence find x. Then put the value of x and find height. Hope this helps you.
mental python
Listen…. You need to take the length x and 8 -x . Then do Pythagoras for both th...
that is correct
here's the solution:
let's say the triangle is named ABC with the height as AD=h
BD is 'x'(let's say)
in Rt.∠ΔABD, using Pythagoras Theorem, we get
h² + x² = 25 ---(1)
using Pythagoras Theorem in Rt.∠ΔACD, we get,
x = 2.5 (upon simplifying and using (1))
now use the value of x (x=2.5) in (1) and you the answer
h² = 90/4
h = (5√10) / 2
h ≈ 4.33
that's the answer
mental python
restive haven
here's the solution:
let's say the triangle is named ABC with the height as AD=h...
I think you made a mistake in the substitution. The answer is ℎ ≈ 4.33
mental python
I think you made a mistake in the substitution. The answer is ℎ ≈ **4.33**
yep, my bad
vague violet
pls and ty
Solution
Let’s solve for the height of the triangle step-by-step:
The image shows a triangle with side lengths a=5 cm, b=7 cm, and base c=8 cm.
The height h is dropped perpendicularly to the base c, dividing the base into two segments, let's call them x and 8−x.
This creates two right-angled triangles.
We can use the Pythagorean theorem on both right-angled triangles:
Triangle 1 (left side):
x2+h2=52
x2+h2=25
Triangle 2 (right side):
(8−x)2+h2=72
(8−x)2+h2=49
Step 1:
Express h2 from the first equation:
h2=25−x2
Step 2:
Substitute this expression for h2 into the second equation:
(8−x)2+(25−x2)=49
Step 3:
Expand and solve for x.
First, expand (8−x)2=64−16 x+x2:
(64−16 x+x2)+25−x2=49
Step 4:
Simplify the equation by combining like terms.
Notice that x2 and −x2 cancel out:
64−16 x+25=49
89−16 x=49
Step 5:
Isolate the term with x:
89−49=16 x
40=16 x
Step 6:
Solve for x:
x=1640
x=25=2.5 cm
Step 7:
Substitute the value of x back into the equation for h2 from Step 1:
h2=25−x2
h2=25−(2.5)2
h2=25−6.25
h2=18.75
Step 8:
Calculate h by taking the square root:
h=18.75
Step 9:
Calculate the numerical value and round to two decimal places as requested:
h≈4.330127...
h≈4.33 cm
Final Answer:
h≈4.33 cm
vague violet
Solution
Let’s solve for the height of the triangle step-by-step:
The image sh...
cassie hope it help you, i just copied from AI math solver xD
wheat verge
That's what I did
wheat verge
cassie hope it help you, i just copied from AI math solver xD
Multiple people have given this exact solution a while ago, and also pls don't post ai solutions if you're not sure of their validity, since the point of this forum is to get human help
pearl tangle
That's what I did
Where
wheat verge
||By Heron's the triangle's area is 10√3. Then ½×8×h=10√3=>h=5√3/2.||
Here
pearl tangle
I thought it's just a black line