Answer:
a
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 9 and h = 12 , then
A = × 9 × 12 =
× 108 = 54 cm²
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1 answer:
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Answer:
112.5
Step-by-step explanation:
you would then cross multiply. 90 x 100 and 80 x ?
you will then have 9000 = 80?
divide 9000 by 80 and you will get ? = 112.5
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Answer and Step-by-step explanation:
Well, Let's refer to the attachment shall we?
The first attachment is for
And the second attachment is for
And the third attachment is for when you combine them together.
Now it's up to you which graph suites best? You will get your answer by referring it with my graph.
Hope this will help you!
Answer:
Shorter leg: 8 units
Longer leg: 15 units
Hypotenuse: 17 units
Step-by-step explanation:
We are given where
is the hypotenuse and
is the length of the shorter leg.
We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with , "is" with
, "1 foot more than" with
and finally "twice the length of the shorter leg" with
.
We also have "longer leg is 7 feet longer than the shorter leg".
I'm going to replace "longer leg" with .
I'm going to replace "is" with .
I'm going to replace "7 feet longer than the shorter leg" with .
So we have the equation .
So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.
So by Pythagorean Theorem, we have: .
Let's make some substitutions from above:
Let's expand the powers using:
Applying this now:
Combine like terms on right hand side:
Subtract everything on left hand side to get 0 on that side:
Simplify:
Reorder into standard form for a quadratic:
Every term is even and therefore divisible by 2. I will divide both sides by 2:
I'm going to see if this is factoroable.
We need to see if we can come up with two numbers that multiply -24 and add up to be -5.
Those numbers are -8 and 3.
So the factored form is:
This implies that either os
.
The first equation can be solved by adding 8 on both sides: .
The second equation can be solved by subtracting 3 on both sides: .
The only solution that makes sense for is 8 since it can't the shorter length cannot be a negative number.
So the dimensions of the right triangle are:
Shorter leg: 8 units
Longer leg: 15 units
Hypotenuse: 17 units