The area of a triangle is 30cmsquare find the base if the altitude exceeds the base by 7 cm

base = 5 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = bh ( b is the base and h the altitude )

let base be b then h = b + 7

Given A = 30, then

b(b + 7) = 30 ( multiply both sides by 2 to clear the fraction )

b(b + 7) = 60 ← distribute left side

b² + 7 = 60 ( subtract 60 from both sides )

b² + 7 - 60 = 0 ← in standard form

(b + 12)(b - 5) = 0 ← in factored form

Equate each factor to zero and solve for b

b + 12 = 0 ⇒ b = - 12

b - 5 = 0 ⇒ b = 5

However, b > 0, thus b = 5

That is the base is 5 cm

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

i dony know

step-by-step explanation: