The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. find the area of the triangle. b = 2 in.; c = 6 in. a = sq. in.

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 324 People

Answered by maham237 @ 13/01/2021

Answer:

$\sqrt{32}sq. in$

Step-by-step explanation:

To find the area of a triangle, we need to know the base and perpendicular to the base (height) of the triangle.

For a right triangle,

(Hypotenuse)² = (Base)² + (Perpendicular)²

We can find the perpendicular first from the above relation.

Given, Hypotenuse, c = 6 in

Base, b = 2 in

Perpendicular, $a = \sqrt{c^2-b^2} = \sqrt {6^2-2^2}=\sqrt{36-4}=\sqrt{32}$

The area of triangle:

$A = \frac{1}{2}{b}{a} = \frac{1}{2}\times 2 \times \sqrt{32} =\sqrt{32}sq. in.$

Find two sides of a right triangle given the hypotenuse

Asked by admin @ 10/11/2021 in Mathematics viewed by 322 persons

To solve for the hypotenuse of a right triangle, what information do you need? A. just the measure of one of the acute angles and the length of one side …

A triangle has sides of lengths 10, 24, and 26. is it a right triangle? explain.

Asked by maham237 @ 27/12/2020 in Mathematics viewed by 293 persons

How to find 2 unknown sides of a right triangle

Asked by admin @ 29/10/2021 in Mathematics viewed by 276 persons

Solve for the unknown side in the right triangle if b=24 and c=26 find a A.8 B.9 C.10 D.11

For the following right triangle find the side length x

Asked by admin @ 07/10/2021 in Mathematics viewed by 331 persons

For the following right triangle, find the side length X. round to nearest hundredth

Find the length of side x in the right triangle

Asked by admin @ 30/11/2021 in Mathematics viewed by 367 persons

Which expression finds the length of side x in this right triangle?

In right angle triangle abc right angled at c

Asked by admin @ 13/08/2021 in Math viewed by 283 persons

"Question 8 In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that …

The longest side of a right angled triangle is 125m

Asked by admin @ 06/08/2021 in Math viewed by 451 persons

the longest side of a right angled triangle is 125m and one of tge remaining two sides is 100m. Find its area using herons formula

A triangle with 3 different sides in length is called

Asked by admin @ 04/12/2021 in Health viewed by 360 persons

A triangle with three different side lengths is called A. scalene. B. equilateral. C. isosceles. D. equiangular.

The hypotenuse of a right triangle has its ends

Asked by admin @ 17/08/2021 in Math viewed by 279 persons

the hypotenuse of a right angled triangle has its ends at the points (1,3)and (-4,1) find an equation of the legs (perpendicular sides) of the triangle

The hypotenuse of a right triangle is 25 cm

Asked by admin @ 12/08/2021 in Math viewed by 330 persons

the hypotenuse of a right triangle is 25cm. the difference between the lengths of the other two sides of the triangle is 5cm. find the lengths of these sides.

How to find angle in right triangle with 3 sides

Asked by admin @ 05/11/2021 in Mathematics viewed by 365 persons

Explain how to find the measures of the angles in a right triangle, given the lengths of two sides.

How do you find the hypotenuse of a right triangle

Asked by admin @ 28/10/2021 in Mathematics viewed by 307 persons

To solve for the hypotenuse of a right triangle, what information do you need? A. just the measure of one of the acute angles and the length of one side …

How do i find the hypotenuse of a right triangle

Asked by admin @ 28/10/2021 in Mathematics viewed by 269 persons

To solve for the hypotenuse of a right triangle, what information do you need? A. just the measure of one of the acute angles and the length of one side …