Find the area of each isosceles triangle . Show work ! **Geometry Concept: Triangle Dimensions**This image depicts an isosceles triangle. In the triangle:- The two equal sides each measure 10 inches.- The base of the triangle is 16 inches long.- A height line (h) is drawn from the peak of the triangle perpendicular to the base, creating a right angle at the base.### Breakdown of the Diagram1. **Isosceles Triangle**: - Two equal sides of 10 inches. - A base of 16 inches.2. **Height (h)**: - The height (h) drops down from the top vertex of the triangle to form a right angle with the base, splitting the base into two equal sections of 8 inches each.This diagram can be used to find the height (h) of the triangle using the Pythagorean theorem in the right triangles formed. The base of each right triangle is 8 inches, while the hypotenuse is 10 inches.### Educational ObjectiveUnderstand the properties of isosceles triangles and how to apply the Pythagorean theorem to find missing measurements.

Answered: 10 in. 10 in.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Find the area of each isosceles triangle . Show work !

**Geometry Concept: Triangle Dimensions**

This image depicts an isosceles triangle. In the triangle:

- The two equal sides each measure 10 inches.
- The base of the triangle is 16 inches long.
- A height line (h) is drawn from the peak of the triangle perpendicular to the base, creating a right angle at the base.

### Breakdown of the Diagram

1. **Isosceles Triangle**:
- Two equal sides of 10 inches.
- A base of 16 inches.

2. **Height (h)**:
- The height (h) drops down from the top vertex of the triangle to form a right angle with the base, splitting the base into two equal sections of 8 inches each.

This diagram can be used to find the height (h) of the triangle using the Pythagorean theorem in the right triangles formed. The base of each right triangle is 8 inches, while the hypotenuse is 10 inches.

### Educational Objective

Understand the properties of isosceles triangles and how to apply the Pythagorean theorem to find missing measurements.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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