Find the altitude of an isosceles triangle with base 16 and congruent sides of length 9.

the altitude is 12.04 units

Step-by-step explanation:

An isosceles triangle is a triangle which has two equal sides and two equal angles. The diagram of the isosceles triangle is shown in the attached diagram. The two equal sides are 9 units each. The isosceles triangle ABC forms two right angle triangle ACF and BCF. The base AB is 16 units.

We want to determine the altitude, CF. We will apply Pythagoras theorem

Hypotenuse^2 = opposite^2 + adjacent ^2

Hypotenuse = 9

Adjacent = 16/2 = 8

Opposite = CF

9^2 = 8^2 + CF^2

CF^2 = 81 + 64 = 145

CF = √145 = 12.04

17

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500