# Math

the diagonals of an isosceles trapezoid are each 17,the altitude is 8,and the upper base is 9.Find the perimrter of the trapezoid.

1. 👍
2. 👎
3. 👁
1. Hint: If the diagonals are equal, then it must be an isosceles trapezoid.
Construct altitudes from the ends of the side of 9 units
You should be able to see right-angled triangles with hypotenuse of 17
(you should get a length of 21 for the other base and 10 for the length of the other two sides.)

1. 👍
2. 👎

## Similar Questions

1. ### MATH

In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.

2. ### calculus

the cross section of a 5-ft long trough is an isosceles trapezoid with a 2 foot lower base, a 3-foot upper base, and an altitude of 2 feet. water is running into the trough at a rate of 1 cubic foot per minute. how fast is the

3. ### Algebra

The lenght of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft2, find the length of the longer base

4. ### Geometry-PSSA Practice

Which of the following quadrilaterals must have diagonals that bisect each other? Rectangle Parallelogram Rhombus Isosceles Trapezoid

1. ### Maths

Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles triangle. The area of the trapezoid is 75 square inches. If the altitude of triangle $ABE$ from $A$

2. ### geometry

the diagram below shoes a pennant in the shape of an isosceles triangle. the equal sides each measure 13, the altitude is x+7 and the base is 2x.

3. ### geometry

Isosceles trapezoid ABCD has legs AB and CD and base BC If AB = 7y – 4, BC = 4y – 6, and CD = 8y – 18, find the value of y.

4. ### geometry

An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.

1. ### geometry

Find the perimeter of an isosceles trapezoid with base lengths of 10 and 18 and height of 8.

2. ### Geometry Question (multiple choice)!

The isosceles trapezoid is part of an isosceles triangle with a 34° vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse angle? 73°; 107° 34°; 146° 73°; 146° 34°; 107° Thank you =) :) ;)

3. ### Math

The bases of trapezoid ABCD are AB and CD. Let P be the intersection of diagonals AC and BD. If the areas of triangles ABP and CDP are 8 and 18, respectively, then find the area of trapezoid ABCD.

4. ### geometry

In an isosceles trapezoid, the longest base is 11", a leg is 5", and the height is 4". Find the length of the shorter base of the trapezoid.