Answer:
Base = 10 cm
Height = 6 cm
Explanation:
Here is the formula for the area of a triangle.
We are given
Replace all occurrences of
with
in each equation.
Apply the distributive property.
Use the power rule to combine exponents.
Factor 2 out of 4 .
Cancel the common factor.
Solve for h.
Multiply each term in
by 2 to eliminate the fractions.
Simplify each term.
Cancel the common factor of 2.
Subtract 60 from both sides of the equation.
Factor using the AC method.
Consider the form
. Find a pair of integers whose product is
and whose sum is
. In this case, whose product is − 60 and whose sum is 4 .
−6, 10
Write the factored form using these integers.
Set
equal to 0 and solve for h.
Then add 6 to both sides of the equation.
Set
equal to 0 and solve for h.
Then subtract 10 from both sides of the equation.
The final solution is all the values that make
true.
Given
Replace all occurrences of h with 6 in each equation.