What’s the length of IG
2 answers:
Answer:
Therefore,
Length of IG is 16 units.
Step-by-step explanation:
Given:
ΔGHI
∠I ≅ ∠H
GH = 16
HI = 5
To Find:
IG = ?
Solution:
In ΔGHI
∠I ≅ ∠H ..............Given
Base angles are equal.
∴ ΔGHI is an Isosceles Triangle
∴ GH ≅ IG .............Property of an Isosceles Triangle
But GH = 16 ...Given
∴ IG = 16 .........Transitive Property
Therefore,
Length of IG is 16 units.
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Answer:
Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:
For this triangle we know that and
. We substitute these values in the equation and solve for B.
Now we use the quadratic formula to solve the equation.
For an equation of the form the quadratic formula is:
In this case note that:
Then:
The solutions are:
For this problem we take the positive solution.
Now we substitute the value of B in the equation to find the height h